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Finding the Third Proportional to 598,376 and 1,309,384

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Solution

The third proportional to 598,376 and 1,309,384 is: 2,865,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,376 : 1,309,384 = 1,309,384 : x
  2. Step 2: Convert to fraction form
    598,376/1,309,384 = 1,309,384/x
  3. Step 3: Cross multiply
    598,376x = 1,309,384 × 1,309,384
  4. Step 4: Simplify right side
    598,376x = 1,714,486,459,456
  5. Step 5: Solve for x
    x = 1,714,486,459,456/598,376
  6. Step 6: Final answer
    x = 2,865,232.66

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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.