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Finding the Third Proportional to 686,566.13 and 1,435,873.50

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Solution

The third proportional to 686,566.13 and 1,435,873.50 is: 3,002,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,566.13 : 1,435,873.50 = 1,435,873.50 : x
  2. Step 2: Convert to fraction form
    686,566.13/1,435,873.50 = 1,435,873.50/x
  3. Step 3: Cross multiply
    686,566.13x = 1,435,873.50 × 1,435,873.50
  4. Step 4: Simplify right side
    686,566.13x = 2,061,732,708,002.25
  5. Step 5: Solve for x
    x = 2,061,732,708,002.25/686,566.13
  6. Step 6: Final answer
    x = 3,002,963.05

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.