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Finding the Third Proportional to 563,048 and 1,172,692

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Solution

The third proportional to 563,048 and 1,172,692 is: 2,442,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,048 : 1,172,692 = 1,172,692 : x
  2. Step 2: Convert to fraction form
    563,048/1,172,692 = 1,172,692/x
  3. Step 3: Cross multiply
    563,048x = 1,172,692 × 1,172,692
  4. Step 4: Simplify right side
    563,048x = 1,375,206,526,864
  5. Step 5: Solve for x
    x = 1,375,206,526,864/563,048
  6. Step 6: Final answer
    x = 2,442,432.13

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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.