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Finding the Third Proportional to 573,414 and 910,809

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Solution

The third proportional to 573,414 and 910,809 is: 1,446,726.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,414 : 910,809 = 910,809 : x
  2. Step 2: Convert to fraction form
    573,414/910,809 = 910,809/x
  3. Step 3: Cross multiply
    573,414x = 910,809 × 910,809
  4. Step 4: Simplify right side
    573,414x = 829,573,034,481
  5. Step 5: Solve for x
    x = 829,573,034,481/573,414
  6. Step 6: Final answer
    x = 1,446,726.16

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Why These Related Problems?

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