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Finding the Third Proportional to 1,134,830.25 and 1,757,062.13

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Solution

The third proportional to 1,134,830.25 and 1,757,062.13 is: 2,720,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134,830.25 : 1,757,062.13 = 1,757,062.13 : x
  2. Step 2: Convert to fraction form
    1,134,830.25/1,757,062.13 = 1,757,062.13/x
  3. Step 3: Cross multiply
    1,134,830.25x = 1,757,062.13 × 1,757,062.13
  4. Step 4: Simplify right side
    1,134,830.25x = 3,087,267,311,109.52
  5. Step 5: Solve for x
    x = 3,087,267,311,109.52/1,134,830.25
  6. Step 6: Final answer
    x = 2,720,466.18

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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.