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Finding the Third Proportional to 549,870 and 851,400

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Solution

The third proportional to 549,870 and 851,400 is: 1,318,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,870 : 851,400 = 851,400 : x
  2. Step 2: Convert to fraction form
    549,870/851,400 = 851,400/x
  3. Step 3: Cross multiply
    549,870x = 851,400 × 851,400
  4. Step 4: Simplify right side
    549,870x = 724,881,960,000
  5. Step 5: Solve for x
    x = 724,881,960,000/549,870
  6. Step 6: Final answer
    x = 1,318,278.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.