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Finding the Third Proportional to 686,815.88 and 1,491,798.94

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Solution

The third proportional to 686,815.88 and 1,491,798.94 is: 3,240,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,815.88 : 1,491,798.94 = 1,491,798.94 : x
  2. Step 2: Convert to fraction form
    686,815.88/1,491,798.94 = 1,491,798.94/x
  3. Step 3: Cross multiply
    686,815.88x = 1,491,798.94 × 1,491,798.94
  4. Step 4: Simplify right side
    686,815.88x = 2,225,464,069,926.13
  5. Step 5: Solve for x
    x = 2,225,464,069,926.13/686,815.88
  6. Step 6: Final answer
    x = 3,240,263.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.