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Finding the Third Proportional to 819,650,526 and 1,259,083,458

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Solution

The third proportional to 819,650,526 and 1,259,083,458 is: 1,934,106,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,650,526 : 1,259,083,458 = 1,259,083,458 : x
  2. Step 2: Convert to fraction form
    819,650,526/1,259,083,458 = 1,259,083,458/x
  3. Step 3: Cross multiply
    819,650,526x = 1,259,083,458 × 1,259,083,458
  4. Step 4: Simplify right side
    819,650,526x = 1,585,291,154,209,237,760
  5. Step 5: Solve for x
    x = 1,585,291,154,209,237,760/819,650,526
  6. Step 6: Final answer
    x = 1,934,106,187.85

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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.