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Finding the Third Proportional to 457,681 and 947,186

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Solution

The third proportional to 457,681 and 947,186 is: 1,960,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,681 : 947,186 = 947,186 : x
  2. Step 2: Convert to fraction form
    457,681/947,186 = 947,186/x
  3. Step 3: Cross multiply
    457,681x = 947,186 × 947,186
  4. Step 4: Simplify right side
    457,681x = 897,161,318,596
  5. Step 5: Solve for x
    x = 897,161,318,596/457,681
  6. Step 6: Final answer
    x = 1,960,232.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.