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Finding the Third Proportional to 711,578 and 1,524,853

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Solution

The third proportional to 711,578 and 1,524,853 is: 3,267,634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,578 : 1,524,853 = 1,524,853 : x
  2. Step 2: Convert to fraction form
    711,578/1,524,853 = 1,524,853/x
  3. Step 3: Cross multiply
    711,578x = 1,524,853 × 1,524,853
  4. Step 4: Simplify right side
    711,578x = 2,325,176,671,609
  5. Step 5: Solve for x
    x = 2,325,176,671,609/711,578
  6. Step 6: Final answer
    x = 3,267,634.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.