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Finding the Third Proportional to 415,459.13 and 903,710.99

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Solution

The third proportional to 415,459.13 and 903,710.99 is: 1,965,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,459.13 : 903,710.99 = 903,710.99 : x
  2. Step 2: Convert to fraction form
    415,459.13/903,710.99 = 903,710.99/x
  3. Step 3: Cross multiply
    415,459.13x = 903,710.99 × 903,710.99
  4. Step 4: Simplify right side
    415,459.13x = 816,693,550,340.27
  5. Step 5: Solve for x
    x = 816,693,550,340.27/415,459.13
  6. Step 6: Final answer
    x = 1,965,761.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.