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Finding the Third Proportional to 2,259,073.13 and 3,441,538.13

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Solution

The third proportional to 2,259,073.13 and 3,441,538.13 is: 5,242,939.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259,073.13 : 3,441,538.13 = 3,441,538.13 : x
  2. Step 2: Convert to fraction form
    2,259,073.13/3,441,538.13 = 3,441,538.13/x
  3. Step 3: Cross multiply
    2,259,073.13x = 3,441,538.13 × 3,441,538.13
  4. Step 4: Simplify right side
    2,259,073.13x = 11,844,184,665,828.52
  5. Step 5: Solve for x
    x = 11,844,184,665,828.52/2,259,073.13
  6. Step 6: Final answer
    x = 5,242,939.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.