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Finding the Third Proportional to 686,854.69 and 1,009,702.02

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Solution

The third proportional to 686,854.69 and 1,009,702.02 is: 1,484,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,854.69 : 1,009,702.02 = 1,009,702.02 : x
  2. Step 2: Convert to fraction form
    686,854.69/1,009,702.02 = 1,009,702.02/x
  3. Step 3: Cross multiply
    686,854.69x = 1,009,702.02 × 1,009,702.02
  4. Step 4: Simplify right side
    686,854.69x = 1,019,498,168,245.38
  5. Step 5: Solve for x
    x = 1,019,498,168,245.38/686,854.69
  6. Step 6: Final answer
    x = 1,484,299.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.