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Finding the Third Proportional to 546,070 and 854,754

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Solution

The third proportional to 546,070 and 854,754 is: 1,337,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,070 : 854,754 = 854,754 : x
  2. Step 2: Convert to fraction form
    546,070/854,754 = 854,754/x
  3. Step 3: Cross multiply
    546,070x = 854,754 × 854,754
  4. Step 4: Simplify right side
    546,070x = 730,604,400,516
  5. Step 5: Solve for x
    x = 730,604,400,516/546,070
  6. Step 6: Final answer
    x = 1,337,931.77

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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.