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Finding the Third Proportional to 819,650,436.19 and 1,259,083,327.36

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Solution

The third proportional to 819,650,436.19 and 1,259,083,327.36 is: 1,934,105,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,650,436.19 : 1,259,083,327.36 = 1,259,083,327.36 : x
  2. Step 2: Convert to fraction form
    819,650,436.19/1,259,083,327.36 = 1,259,083,327.36/x
  3. Step 3: Cross multiply
    819,650,436.19x = 1,259,083,327.36 × 1,259,083,327.36
  4. Step 4: Simplify right side
    819,650,436.19x = 1,585,290,825,234,418,176
  5. Step 5: Solve for x
    x = 1,585,290,825,234,418,176/819,650,436.19
  6. Step 6: Final answer
    x = 1,934,105,998.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.