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Finding the Third Proportional to 1,280,701.13 and 1,929,465.56

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Solution

The third proportional to 1,280,701.13 and 1,929,465.56 is: 2,906,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,701.13 : 1,929,465.56 = 1,929,465.56 : x
  2. Step 2: Convert to fraction form
    1,280,701.13/1,929,465.56 = 1,929,465.56/x
  3. Step 3: Cross multiply
    1,280,701.13x = 1,929,465.56 × 1,929,465.56
  4. Step 4: Simplify right side
    1,280,701.13x = 3,722,837,356,873.44
  5. Step 5: Solve for x
    x = 3,722,837,356,873.44/1,280,701.13
  6. Step 6: Final answer
    x = 2,906,874.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.