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Finding the Third Proportional to 645,986 and 991,580

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Solution

The third proportional to 645,986 and 991,580 is: 1,522,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,986 : 991,580 = 991,580 : x
  2. Step 2: Convert to fraction form
    645,986/991,580 = 991,580/x
  3. Step 3: Cross multiply
    645,986x = 991,580 × 991,580
  4. Step 4: Simplify right side
    645,986x = 983,230,896,400
  5. Step 5: Solve for x
    x = 983,230,896,400/645,986
  6. Step 6: Final answer
    x = 1,522,062.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.