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Finding the Third Proportional to 963,467 and 2,098,522

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Solution

The third proportional to 963,467 and 2,098,522 is: 4,570,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,467 : 2,098,522 = 2,098,522 : x
  2. Step 2: Convert to fraction form
    963,467/2,098,522 = 2,098,522/x
  3. Step 3: Cross multiply
    963,467x = 2,098,522 × 2,098,522
  4. Step 4: Simplify right side
    963,467x = 4,403,794,584,484
  5. Step 5: Solve for x
    x = 4,403,794,584,484/963,467
  6. Step 6: Final answer
    x = 4,570,778.85

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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.