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Finding the Third Proportional to 598,436 and 1,309,479

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Solution

The third proportional to 598,436 and 1,309,479 is: 2,865,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,436 : 1,309,479 = 1,309,479 : x
  2. Step 2: Convert to fraction form
    598,436/1,309,479 = 1,309,479/x
  3. Step 3: Cross multiply
    598,436x = 1,309,479 × 1,309,479
  4. Step 4: Simplify right side
    598,436x = 1,714,735,251,441
  5. Step 5: Solve for x
    x = 1,714,735,251,441/598,436
  6. Step 6: Final answer
    x = 2,865,361.13

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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.