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Finding the Third Proportional to 587,965 and 1,246,580

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Solution

The third proportional to 587,965 and 1,246,580 is: 2,642,949.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,965 : 1,246,580 = 1,246,580 : x
  2. Step 2: Convert to fraction form
    587,965/1,246,580 = 1,246,580/x
  3. Step 3: Cross multiply
    587,965x = 1,246,580 × 1,246,580
  4. Step 4: Simplify right side
    587,965x = 1,553,961,696,400
  5. Step 5: Solve for x
    x = 1,553,961,696,400/587,965
  6. Step 6: Final answer
    x = 2,642,949.32

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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.