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Finding the Third Proportional to 559,014 and 1,206,552

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Solution

The third proportional to 559,014 and 1,206,552 is: 2,604,170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,014 : 1,206,552 = 1,206,552 : x
  2. Step 2: Convert to fraction form
    559,014/1,206,552 = 1,206,552/x
  3. Step 3: Cross multiply
    559,014x = 1,206,552 × 1,206,552
  4. Step 4: Simplify right side
    559,014x = 1,455,767,728,704
  5. Step 5: Solve for x
    x = 1,455,767,728,704/559,014
  6. Step 6: Final answer
    x = 2,604,170.43

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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.