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Finding the Third Proportional to 665,732 and 1,081,587

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Solution

The third proportional to 665,732 and 1,081,587 is: 1,757,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,732 : 1,081,587 = 1,081,587 : x
  2. Step 2: Convert to fraction form
    665,732/1,081,587 = 1,081,587/x
  3. Step 3: Cross multiply
    665,732x = 1,081,587 × 1,081,587
  4. Step 4: Simplify right side
    665,732x = 1,169,830,438,569
  5. Step 5: Solve for x
    x = 1,169,830,438,569/665,732
  6. Step 6: Final answer
    x = 1,757,209.27

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.