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Finding the Third Proportional to 686,530.69 and 1,435,798.41

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Solution

The third proportional to 686,530.69 and 1,435,798.41 is: 3,002,803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,530.69 : 1,435,798.41 = 1,435,798.41 : x
  2. Step 2: Convert to fraction form
    686,530.69/1,435,798.41 = 1,435,798.41/x
  3. Step 3: Cross multiply
    686,530.69x = 1,435,798.41 × 1,435,798.41
  4. Step 4: Simplify right side
    686,530.69x = 2,061,517,063,390.04
  5. Step 5: Solve for x
    x = 2,061,517,063,390.04/686,530.69
  6. Step 6: Final answer
    x = 3,002,803.95

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Why These Related Problems?

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