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Finding the Third Proportional to 461,727 and 992,445

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Solution

The third proportional to 461,727 and 992,445 is: 2,133,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,727 : 992,445 = 992,445 : x
  2. Step 2: Convert to fraction form
    461,727/992,445 = 992,445/x
  3. Step 3: Cross multiply
    461,727x = 992,445 × 992,445
  4. Step 4: Simplify right side
    461,727x = 984,947,078,025
  5. Step 5: Solve for x
    x = 984,947,078,025/461,727
  6. Step 6: Final answer
    x = 2,133,180.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.