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Finding the Third Proportional to 546,849 and 856,114

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Solution

The third proportional to 546,849 and 856,114 is: 1,340,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,849 : 856,114 = 856,114 : x
  2. Step 2: Convert to fraction form
    546,849/856,114 = 856,114/x
  3. Step 3: Cross multiply
    546,849x = 856,114 × 856,114
  4. Step 4: Simplify right side
    546,849x = 732,931,180,996
  5. Step 5: Solve for x
    x = 732,931,180,996/546,849
  6. Step 6: Final answer
    x = 1,340,280.74

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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.