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Finding the Third Proportional to 1,510,854.47 and 2,342,872.13

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Solution

The third proportional to 1,510,854.47 and 2,342,872.13 is: 3,633,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,854.47 : 2,342,872.13 = 2,342,872.13 : x
  2. Step 2: Convert to fraction form
    1,510,854.47/2,342,872.13 = 2,342,872.13/x
  3. Step 3: Cross multiply
    1,510,854.47x = 2,342,872.13 × 2,342,872.13
  4. Step 4: Simplify right side
    1,510,854.47x = 5,489,049,794,102.02
  5. Step 5: Solve for x
    x = 5,489,049,794,102.02/1,510,854.47
  6. Step 6: Final answer
    x = 3,633,076.45

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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.