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Finding the Third Proportional to 814,819,662 and 1,292,354,424

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Solution

The third proportional to 814,819,662 and 1,292,354,424 is: 2,049,754,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,819,662 : 1,292,354,424 = 1,292,354,424 : x
  2. Step 2: Convert to fraction form
    814,819,662/1,292,354,424 = 1,292,354,424/x
  3. Step 3: Cross multiply
    814,819,662x = 1,292,354,424 × 1,292,354,424
  4. Step 4: Simplify right side
    814,819,662x = 1,670,179,957,232,371,712
  5. Step 5: Solve for x
    x = 1,670,179,957,232,371,712/814,819,662
  6. Step 6: Final answer
    x = 2,049,754,117.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.