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Finding the Third Proportional to 582,663 and 1,246,281

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Solution

The third proportional to 582,663 and 1,246,281 is: 2,665,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,663 : 1,246,281 = 1,246,281 : x
  2. Step 2: Convert to fraction form
    582,663/1,246,281 = 1,246,281/x
  3. Step 3: Cross multiply
    582,663x = 1,246,281 × 1,246,281
  4. Step 4: Simplify right side
    582,663x = 1,553,216,330,961
  5. Step 5: Solve for x
    x = 1,553,216,330,961/582,663
  6. Step 6: Final answer
    x = 2,665,719.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.