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Finding the Third Proportional to 1,960,261.30 and 4,246,257.46

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Solution

The third proportional to 1,960,261.30 and 4,246,257.46 is: 9,198,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960,261.30 : 4,246,257.46 = 4,246,257.46 : x
  2. Step 2: Convert to fraction form
    1,960,261.30/4,246,257.46 = 4,246,257.46/x
  3. Step 3: Cross multiply
    1,960,261.30x = 4,246,257.46 × 4,246,257.46
  4. Step 4: Simplify right side
    1,960,261.30x = 18,030,702,441,154.97
  5. Step 5: Solve for x
    x = 18,030,702,441,154.97/1,960,261.30
  6. Step 6: Final answer
    x = 9,198,111.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.