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Finding the Third Proportional to 2,603,264.25 and 5,606,577

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Solution

The third proportional to 2,603,264.25 and 5,606,577 is: 12,074,727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603,264.25 : 5,606,577 = 5,606,577 : x
  2. Step 2: Convert to fraction form
    2,603,264.25/5,606,577 = 5,606,577/x
  3. Step 3: Cross multiply
    2,603,264.25x = 5,606,577 × 5,606,577
  4. Step 4: Simplify right side
    2,603,264.25x = 31,433,705,656,929
  5. Step 5: Solve for x
    x = 31,433,705,656,929/2,603,264.25
  6. Step 6: Final answer
    x = 12,074,727.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.