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Finding the Third Proportional to 869,748 and 1,327,118

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Solution

The third proportional to 869,748 and 1,327,118 is: 2,025,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,748 : 1,327,118 = 1,327,118 : x
  2. Step 2: Convert to fraction form
    869,748/1,327,118 = 1,327,118/x
  3. Step 3: Cross multiply
    869,748x = 1,327,118 × 1,327,118
  4. Step 4: Simplify right side
    869,748x = 1,761,242,185,924
  5. Step 5: Solve for x
    x = 1,761,242,185,924/869,748
  6. Step 6: Final answer
    x = 2,025,002.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.