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Finding the Third Proportional to 458,966 and 999,586

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Solution

The third proportional to 458,966 and 999,586 is: 2,177,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,966 : 999,586 = 999,586 : x
  2. Step 2: Convert to fraction form
    458,966/999,586 = 999,586/x
  3. Step 3: Cross multiply
    458,966x = 999,586 × 999,586
  4. Step 4: Simplify right side
    458,966x = 999,172,171,396
  5. Step 5: Solve for x
    x = 999,172,171,396/458,966
  6. Step 6: Final answer
    x = 2,177,006.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.