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Finding the Third Proportional to 767,842.03 and 1,671,874.17

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Solution

The third proportional to 767,842.03 and 1,671,874.17 is: 3,640,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,842.03 : 1,671,874.17 = 1,671,874.17 : x
  2. Step 2: Convert to fraction form
    767,842.03/1,671,874.17 = 1,671,874.17/x
  3. Step 3: Cross multiply
    767,842.03x = 1,671,874.17 × 1,671,874.17
  4. Step 4: Simplify right side
    767,842.03x = 2,795,163,246,582.72
  5. Step 5: Solve for x
    x = 2,795,163,246,582.72/767,842.03
  6. Step 6: Final answer
    x = 3,640,284.24

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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.