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Finding the Third Proportional to 563,944 and 1,217,775

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Solution

The third proportional to 563,944 and 1,217,775 is: 2,629,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,944 : 1,217,775 = 1,217,775 : x
  2. Step 2: Convert to fraction form
    563,944/1,217,775 = 1,217,775/x
  3. Step 3: Cross multiply
    563,944x = 1,217,775 × 1,217,775
  4. Step 4: Simplify right side
    563,944x = 1,482,975,950,625
  5. Step 5: Solve for x
    x = 1,482,975,950,625/563,944
  6. Step 6: Final answer
    x = 2,629,651.08

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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.