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Finding the Third Proportional to 1,084,524.75 and 1,681,310.25

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Solution

The third proportional to 1,084,524.75 and 1,681,310.25 is: 2,606,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084,524.75 : 1,681,310.25 = 1,681,310.25 : x
  2. Step 2: Convert to fraction form
    1,084,524.75/1,681,310.25 = 1,681,310.25/x
  3. Step 3: Cross multiply
    1,084,524.75x = 1,681,310.25 × 1,681,310.25
  4. Step 4: Simplify right side
    1,084,524.75x = 2,826,804,156,755.06
  5. Step 5: Solve for x
    x = 2,826,804,156,755.06/1,084,524.75
  6. Step 6: Final answer
    x = 2,606,491.14

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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.