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Finding the Third Proportional to 620,620 and 948,981

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Solution

The third proportional to 620,620 and 948,981 is: 1,451,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,620 : 948,981 = 948,981 : x
  2. Step 2: Convert to fraction form
    620,620/948,981 = 948,981/x
  3. Step 3: Cross multiply
    620,620x = 948,981 × 948,981
  4. Step 4: Simplify right side
    620,620x = 900,564,938,361
  5. Step 5: Solve for x
    x = 900,564,938,361/620,620
  6. Step 6: Final answer
    x = 1,451,073.02

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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.