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Finding the Third Proportional to 458,510 and 996,076

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Solution

The third proportional to 458,510 and 996,076 is: 2,163,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,510 : 996,076 = 996,076 : x
  2. Step 2: Convert to fraction form
    458,510/996,076 = 996,076/x
  3. Step 3: Cross multiply
    458,510x = 996,076 × 996,076
  4. Step 4: Simplify right side
    458,510x = 992,167,397,776
  5. Step 5: Solve for x
    x = 992,167,397,776/458,510
  6. Step 6: Final answer
    x = 2,163,894.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.