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Finding the Third Proportional to 711,345 and 1,264,797

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Solution

The third proportional to 711,345 and 1,264,797 is: 2,248,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,345 : 1,264,797 = 1,264,797 : x
  2. Step 2: Convert to fraction form
    711,345/1,264,797 = 1,264,797/x
  3. Step 3: Cross multiply
    711,345x = 1,264,797 × 1,264,797
  4. Step 4: Simplify right side
    711,345x = 1,599,711,451,209
  5. Step 5: Solve for x
    x = 1,599,711,451,209/711,345
  6. Step 6: Final answer
    x = 2,248,854.57

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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.