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Finding the Third Proportional to 758,376 and 1,659,600

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Solution

The third proportional to 758,376 and 1,659,600 is: 3,631,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,376 : 1,659,600 = 1,659,600 : x
  2. Step 2: Convert to fraction form
    758,376/1,659,600 = 1,659,600/x
  3. Step 3: Cross multiply
    758,376x = 1,659,600 × 1,659,600
  4. Step 4: Simplify right side
    758,376x = 2,754,272,160,000
  5. Step 5: Solve for x
    x = 2,754,272,160,000/758,376
  6. Step 6: Final answer
    x = 3,631,802.91

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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.