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Finding the Third Proportional to 546,065 and 854,747

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Solution

The third proportional to 546,065 and 854,747 is: 1,337,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,065 : 854,747 = 854,747 : x
  2. Step 2: Convert to fraction form
    546,065/854,747 = 854,747/x
  3. Step 3: Cross multiply
    546,065x = 854,747 × 854,747
  4. Step 4: Simplify right side
    546,065x = 730,592,434,009
  5. Step 5: Solve for x
    x = 730,592,434,009/546,065
  6. Step 6: Final answer
    x = 1,337,922.10

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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.