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Finding the Third Proportional to 563,908 and 1,220,744

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Solution

The third proportional to 563,908 and 1,220,744 is: 2,642,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,908 : 1,220,744 = 1,220,744 : x
  2. Step 2: Convert to fraction form
    563,908/1,220,744 = 1,220,744/x
  3. Step 3: Cross multiply
    563,908x = 1,220,744 × 1,220,744
  4. Step 4: Simplify right side
    563,908x = 1,490,215,913,536
  5. Step 5: Solve for x
    x = 1,490,215,913,536/563,908
  6. Step 6: Final answer
    x = 2,642,657.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.