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Finding the Third Proportional to 819,213.75 and 1,271,953.13

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Solution

The third proportional to 819,213.75 and 1,271,953.13 is: 1,974,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,213.75 : 1,271,953.13 = 1,271,953.13 : x
  2. Step 2: Convert to fraction form
    819,213.75/1,271,953.13 = 1,271,953.13/x
  3. Step 3: Cross multiply
    819,213.75x = 1,271,953.13 × 1,271,953.13
  4. Step 4: Simplify right side
    819,213.75x = 1,617,864,752,197.27
  5. Step 5: Solve for x
    x = 1,617,864,752,197.27/819,213.75
  6. Step 6: Final answer
    x = 1,974,899.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.