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Finding the Third Proportional to 963,508 and 2,098,598

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Solution

The third proportional to 963,508 and 2,098,598 is: 4,570,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,508 : 2,098,598 = 2,098,598 : x
  2. Step 2: Convert to fraction form
    963,508/2,098,598 = 2,098,598/x
  3. Step 3: Cross multiply
    963,508x = 2,098,598 × 2,098,598
  4. Step 4: Simplify right side
    963,508x = 4,404,113,565,604
  5. Step 5: Solve for x
    x = 4,404,113,565,604/963,508
  6. Step 6: Final answer
    x = 4,570,915.41

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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.