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Finding the Third Proportional to 686,666 and 1,061,139

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Solution

The third proportional to 686,666 and 1,061,139 is: 1,639,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,666 : 1,061,139 = 1,061,139 : x
  2. Step 2: Convert to fraction form
    686,666/1,061,139 = 1,061,139/x
  3. Step 3: Cross multiply
    686,666x = 1,061,139 × 1,061,139
  4. Step 4: Simplify right side
    686,666x = 1,126,015,977,321
  5. Step 5: Solve for x
    x = 1,126,015,977,321/686,666
  6. Step 6: Final answer
    x = 1,639,830.69

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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.