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Finding the Third Proportional to 819,650,438 and 1,259,083,331

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Solution

The third proportional to 819,650,438 and 1,259,083,331 is: 1,934,106,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,650,438 : 1,259,083,331 = 1,259,083,331 : x
  2. Step 2: Convert to fraction form
    819,650,438/1,259,083,331 = 1,259,083,331/x
  3. Step 3: Cross multiply
    819,650,438x = 1,259,083,331 × 1,259,083,331
  4. Step 4: Simplify right side
    819,650,438x = 1,585,290,834,402,055,680
  5. Step 5: Solve for x
    x = 1,585,290,834,402,055,680/819,650,438
  6. Step 6: Final answer
    x = 1,934,106,005.32

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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.