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Finding the Third Proportional to 563,669 and 1,182,727

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Solution

The third proportional to 563,669 and 1,182,727 is: 2,481,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,669 : 1,182,727 = 1,182,727 : x
  2. Step 2: Convert to fraction form
    563,669/1,182,727 = 1,182,727/x
  3. Step 3: Cross multiply
    563,669x = 1,182,727 × 1,182,727
  4. Step 4: Simplify right side
    563,669x = 1,398,843,156,529
  5. Step 5: Solve for x
    x = 1,398,843,156,529/563,669
  6. Step 6: Final answer
    x = 2,481,674.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.