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Finding the Third Proportional to 711,396 and 1,679,292

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Solution

The third proportional to 711,396 and 1,679,292 is: 3,964,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,396 : 1,679,292 = 1,679,292 : x
  2. Step 2: Convert to fraction form
    711,396/1,679,292 = 1,679,292/x
  3. Step 3: Cross multiply
    711,396x = 1,679,292 × 1,679,292
  4. Step 4: Simplify right side
    711,396x = 2,820,021,621,264
  5. Step 5: Solve for x
    x = 2,820,021,621,264/711,396
  6. Step 6: Final answer
    x = 3,964,067.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.