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Finding the Third Proportional to 645,617.25 and 947,689.88

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Solution

The third proportional to 645,617.25 and 947,689.88 is: 1,391,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,617.25 : 947,689.88 = 947,689.88 : x
  2. Step 2: Convert to fraction form
    645,617.25/947,689.88 = 947,689.88/x
  3. Step 3: Cross multiply
    645,617.25x = 947,689.88 × 947,689.88
  4. Step 4: Simplify right side
    645,617.25x = 898,116,099,177.52
  5. Step 5: Solve for x
    x = 898,116,099,177.52/645,617.25
  6. Step 6: Final answer
    x = 1,391,096.81

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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.