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Finding the Third Proportional to 461,732 and 992,455

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Solution

The third proportional to 461,732 and 992,455 is: 2,133,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,732 : 992,455 = 992,455 : x
  2. Step 2: Convert to fraction form
    461,732/992,455 = 992,455/x
  3. Step 3: Cross multiply
    461,732x = 992,455 × 992,455
  4. Step 4: Simplify right side
    461,732x = 984,966,927,025
  5. Step 5: Solve for x
    x = 984,966,927,025/461,732
  6. Step 6: Final answer
    x = 2,133,200.49

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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.