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Finding the Third Proportional to 598,347 and 1,309,338

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Solution

The third proportional to 598,347 and 1,309,338 is: 2,865,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,347 : 1,309,338 = 1,309,338 : x
  2. Step 2: Convert to fraction form
    598,347/1,309,338 = 1,309,338/x
  3. Step 3: Cross multiply
    598,347x = 1,309,338 × 1,309,338
  4. Step 4: Simplify right side
    598,347x = 1,714,365,998,244
  5. Step 5: Solve for x
    x = 1,714,365,998,244/598,347
  6. Step 6: Final answer
    x = 2,865,170.21

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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.