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Finding the Third Proportional to 546,124 and 854,826

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Solution

The third proportional to 546,124 and 854,826 is: 1,338,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,124 : 854,826 = 854,826 : x
  2. Step 2: Convert to fraction form
    546,124/854,826 = 854,826/x
  3. Step 3: Cross multiply
    546,124x = 854,826 × 854,826
  4. Step 4: Simplify right side
    546,124x = 730,727,490,276
  5. Step 5: Solve for x
    x = 730,727,490,276/546,124
  6. Step 6: Final answer
    x = 1,338,024.86

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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.