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Finding the Third Proportional to 814,241 and 1,125,129

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Solution

The third proportional to 814,241 and 1,125,129 is: 1,554,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,241 : 1,125,129 = 1,125,129 : x
  2. Step 2: Convert to fraction form
    814,241/1,125,129 = 1,125,129/x
  3. Step 3: Cross multiply
    814,241x = 1,125,129 × 1,125,129
  4. Step 4: Simplify right side
    814,241x = 1,265,915,266,641
  5. Step 5: Solve for x
    x = 1,265,915,266,641/814,241
  6. Step 6: Final answer
    x = 1,554,718.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.