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Finding the Third Proportional to 711,334 and 1,264,775

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Solution

The third proportional to 711,334 and 1,264,775 is: 2,248,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,334 : 1,264,775 = 1,264,775 : x
  2. Step 2: Convert to fraction form
    711,334/1,264,775 = 1,264,775/x
  3. Step 3: Cross multiply
    711,334x = 1,264,775 × 1,264,775
  4. Step 4: Simplify right side
    711,334x = 1,599,655,800,625
  5. Step 5: Solve for x
    x = 1,599,655,800,625/711,334
  6. Step 6: Final answer
    x = 2,248,811.11

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.