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Finding the Third Proportional to 563,078 and 1,172,596

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Solution

The third proportional to 563,078 and 1,172,596 is: 2,441,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,078 : 1,172,596 = 1,172,596 : x
  2. Step 2: Convert to fraction form
    563,078/1,172,596 = 1,172,596/x
  3. Step 3: Cross multiply
    563,078x = 1,172,596 × 1,172,596
  4. Step 4: Simplify right side
    563,078x = 1,374,981,379,216
  5. Step 5: Solve for x
    x = 1,374,981,379,216/563,078
  6. Step 6: Final answer
    x = 2,441,902.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.