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Finding the Third Proportional to 456,963 and 991,686

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Solution

The third proportional to 456,963 and 991,686 is: 2,152,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,963 : 991,686 = 991,686 : x
  2. Step 2: Convert to fraction form
    456,963/991,686 = 991,686/x
  3. Step 3: Cross multiply
    456,963x = 991,686 × 991,686
  4. Step 4: Simplify right side
    456,963x = 983,441,122,596
  5. Step 5: Solve for x
    x = 983,441,122,596/456,963
  6. Step 6: Final answer
    x = 2,152,124.18

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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.