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Finding the Third Proportional to 415,539 and 897,516

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Solution

The third proportional to 415,539 and 897,516 is: 1,938,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,539 : 897,516 = 897,516 : x
  2. Step 2: Convert to fraction form
    415,539/897,516 = 897,516/x
  3. Step 3: Cross multiply
    415,539x = 897,516 × 897,516
  4. Step 4: Simplify right side
    415,539x = 805,534,970,256
  5. Step 5: Solve for x
    x = 805,534,970,256/415,539
  6. Step 6: Final answer
    x = 1,938,530.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.