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Finding the Third Proportional to 1,209,280.88 and 1,748,105.44

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Solution

The third proportional to 1,209,280.88 and 1,748,105.44 is: 2,527,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,280.88 : 1,748,105.44 = 1,748,105.44 : x
  2. Step 2: Convert to fraction form
    1,209,280.88/1,748,105.44 = 1,748,105.44/x
  3. Step 3: Cross multiply
    1,209,280.88x = 1,748,105.44 × 1,748,105.44
  4. Step 4: Simplify right side
    1,209,280.88x = 3,055,872,620,617.07
  5. Step 5: Solve for x
    x = 3,055,872,620,617.07/1,209,280.88
  6. Step 6: Final answer
    x = 2,527,016.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.