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Finding the Third Proportional to 767,234 and 1,671,748

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Solution

The third proportional to 767,234 and 1,671,748 is: 3,642,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,234 : 1,671,748 = 1,671,748 : x
  2. Step 2: Convert to fraction form
    767,234/1,671,748 = 1,671,748/x
  3. Step 3: Cross multiply
    767,234x = 1,671,748 × 1,671,748
  4. Step 4: Simplify right side
    767,234x = 2,794,741,375,504
  5. Step 5: Solve for x
    x = 2,794,741,375,504/767,234
  6. Step 6: Final answer
    x = 3,642,619.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.