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Finding the Third Proportional to 460,522 and 991,028

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Solution

The third proportional to 460,522 and 991,028 is: 2,132,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,522 : 991,028 = 991,028 : x
  2. Step 2: Convert to fraction form
    460,522/991,028 = 991,028/x
  3. Step 3: Cross multiply
    460,522x = 991,028 × 991,028
  4. Step 4: Simplify right side
    460,522x = 982,136,496,784
  5. Step 5: Solve for x
    x = 982,136,496,784/460,522
  6. Step 6: Final answer
    x = 2,132,659.24

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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.