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Finding the Third Proportional to 1,083,686.34 and 1,687,578.89

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Solution

The third proportional to 1,083,686.34 and 1,687,578.89 is: 2,627,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,686.34 : 1,687,578.89 = 1,687,578.89 : x
  2. Step 2: Convert to fraction form
    1,083,686.34/1,687,578.89 = 1,687,578.89/x
  3. Step 3: Cross multiply
    1,083,686.34x = 1,687,578.89 × 1,687,578.89
  4. Step 4: Simplify right side
    1,083,686.34x = 2,847,922,512,083.11
  5. Step 5: Solve for x
    x = 2,847,922,512,083.11/1,083,686.34
  6. Step 6: Final answer
    x = 2,627,995.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.