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Finding the Third Proportional to 748,902 and 1,637,637

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Solution

The third proportional to 748,902 and 1,637,637 is: 3,581,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,902 : 1,637,637 = 1,637,637 : x
  2. Step 2: Convert to fraction form
    748,902/1,637,637 = 1,637,637/x
  3. Step 3: Cross multiply
    748,902x = 1,637,637 × 1,637,637
  4. Step 4: Simplify right side
    748,902x = 2,681,854,943,769
  5. Step 5: Solve for x
    x = 2,681,854,943,769/748,902
  6. Step 6: Final answer
    x = 3,581,049.25

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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.