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Finding the Third Proportional to 749,493 and 1,635,957

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Solution

The third proportional to 749,493 and 1,635,957 is: 3,570,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,493 : 1,635,957 = 1,635,957 : x
  2. Step 2: Convert to fraction form
    749,493/1,635,957 = 1,635,957/x
  3. Step 3: Cross multiply
    749,493x = 1,635,957 × 1,635,957
  4. Step 4: Simplify right side
    749,493x = 2,676,355,305,849
  5. Step 5: Solve for x
    x = 2,676,355,305,849/749,493
  6. Step 6: Final answer
    x = 3,570,887.66

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Why These Related Problems?

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