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Finding the Third Proportional to 314,828,475 and 691,639,446

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Solution

The third proportional to 314,828,475 and 691,639,446 is: 1,519,446,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,828,475 : 691,639,446 = 691,639,446 : x
  2. Step 2: Convert to fraction form
    314,828,475/691,639,446 = 691,639,446/x
  3. Step 3: Cross multiply
    314,828,475x = 691,639,446 × 691,639,446
  4. Step 4: Simplify right side
    314,828,475x = 478,365,123,263,186,944
  5. Step 5: Solve for x
    x = 478,365,123,263,186,944/314,828,475
  6. Step 6: Final answer
    x = 1,519,446,813.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.