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Finding the Third Proportional to 557,000 and 1,143,496

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Solution

The third proportional to 557,000 and 1,143,496 is: 2,347,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,000 : 1,143,496 = 1,143,496 : x
  2. Step 2: Convert to fraction form
    557,000/1,143,496 = 1,143,496/x
  3. Step 3: Cross multiply
    557,000x = 1,143,496 × 1,143,496
  4. Step 4: Simplify right side
    557,000x = 1,307,583,102,016
  5. Step 5: Solve for x
    x = 1,307,583,102,016/557,000
  6. Step 6: Final answer
    x = 2,347,545.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.