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Finding the Third Proportional to 502,430 and 1,092,122

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Solution

The third proportional to 502,430 and 1,092,122 is: 2,373,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,430 : 1,092,122 = 1,092,122 : x
  2. Step 2: Convert to fraction form
    502,430/1,092,122 = 1,092,122/x
  3. Step 3: Cross multiply
    502,430x = 1,092,122 × 1,092,122
  4. Step 4: Simplify right side
    502,430x = 1,192,730,462,884
  5. Step 5: Solve for x
    x = 1,192,730,462,884/502,430
  6. Step 6: Final answer
    x = 2,373,923.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.