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Finding the Third Proportional to 758,396 and 1,659,640

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Solution

The third proportional to 758,396 and 1,659,640 is: 3,631,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,396 : 1,659,640 = 1,659,640 : x
  2. Step 2: Convert to fraction form
    758,396/1,659,640 = 1,659,640/x
  3. Step 3: Cross multiply
    758,396x = 1,659,640 × 1,659,640
  4. Step 4: Simplify right side
    758,396x = 2,754,404,929,600
  5. Step 5: Solve for x
    x = 2,754,404,929,600/758,396
  6. Step 6: Final answer
    x = 3,631,882.20

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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.