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Finding the Third Proportional to 546,092 and 854,810

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Solution

The third proportional to 546,092 and 854,810 is: 1,338,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,092 : 854,810 = 854,810 : x
  2. Step 2: Convert to fraction form
    546,092/854,810 = 854,810/x
  3. Step 3: Cross multiply
    546,092x = 854,810 × 854,810
  4. Step 4: Simplify right side
    546,092x = 730,700,136,100
  5. Step 5: Solve for x
    x = 730,700,136,100/546,092
  6. Step 6: Final answer
    x = 1,338,053.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.