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Finding the Third Proportional to 611,909 and 1,346,142

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Solution

The third proportional to 611,909 and 1,346,142 is: 2,961,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,909 : 1,346,142 = 1,346,142 : x
  2. Step 2: Convert to fraction form
    611,909/1,346,142 = 1,346,142/x
  3. Step 3: Cross multiply
    611,909x = 1,346,142 × 1,346,142
  4. Step 4: Simplify right side
    611,909x = 1,812,098,284,164
  5. Step 5: Solve for x
    x = 1,812,098,284,164/611,909
  6. Step 6: Final answer
    x = 2,961,385.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.