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Finding the Third Proportional to 587,965.13 and 1,246,580.81

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Solution

The third proportional to 587,965.13 and 1,246,580.81 is: 2,642,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,965.13 : 1,246,580.81 = 1,246,580.81 : x
  2. Step 2: Convert to fraction form
    587,965.13/1,246,580.81 = 1,246,580.81/x
  3. Step 3: Cross multiply
    587,965.13x = 1,246,580.81 × 1,246,580.81
  4. Step 4: Simplify right side
    587,965.13x = 1,553,963,722,093.16
  5. Step 5: Solve for x
    x = 1,553,963,722,093.16/587,965.13
  6. Step 6: Final answer
    x = 2,642,952.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.