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Finding the Third Proportional to 596,498 and 1,306,396

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Solution

The third proportional to 596,498 and 1,306,396 is: 2,861,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,498 : 1,306,396 = 1,306,396 : x
  2. Step 2: Convert to fraction form
    596,498/1,306,396 = 1,306,396/x
  3. Step 3: Cross multiply
    596,498x = 1,306,396 × 1,306,396
  4. Step 4: Simplify right side
    596,498x = 1,706,670,508,816
  5. Step 5: Solve for x
    x = 1,706,670,508,816/596,498
  6. Step 6: Final answer
    x = 2,861,150.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.