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Finding the Third Proportional to 546,112 and 854,808

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Solution

The third proportional to 546,112 and 854,808 is: 1,337,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,112 : 854,808 = 854,808 : x
  2. Step 2: Convert to fraction form
    546,112/854,808 = 854,808/x
  3. Step 3: Cross multiply
    546,112x = 854,808 × 854,808
  4. Step 4: Simplify right side
    546,112x = 730,696,716,864
  5. Step 5: Solve for x
    x = 730,696,716,864/546,112
  6. Step 6: Final answer
    x = 1,337,997.91

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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.