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Finding the Third Proportional to 415,312.13 and 907,490.25

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Solution

The third proportional to 415,312.13 and 907,490.25 is: 1,982,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,312.13 : 907,490.25 = 907,490.25 : x
  2. Step 2: Convert to fraction form
    415,312.13/907,490.25 = 907,490.25/x
  3. Step 3: Cross multiply
    415,312.13x = 907,490.25 × 907,490.25
  4. Step 4: Simplify right side
    415,312.13x = 823,538,553,845.06
  5. Step 5: Solve for x
    x = 823,538,553,845.06/415,312.13
  6. Step 6: Final answer
    x = 1,982,938.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.