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Finding the Third Proportional to 2,658,754.13 and 5,798,716.59

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Solution

The third proportional to 2,658,754.13 and 5,798,716.59 is: 12,646,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658,754.13 : 5,798,716.59 = 5,798,716.59 : x
  2. Step 2: Convert to fraction form
    2,658,754.13/5,798,716.59 = 5,798,716.59/x
  3. Step 3: Cross multiply
    2,658,754.13x = 5,798,716.59 × 5,798,716.59
  4. Step 4: Simplify right side
    2,658,754.13x = 33,625,114,134,631.60
  5. Step 5: Solve for x
    x = 33,625,114,134,631.60/2,658,754.13
  6. Step 6: Final answer
    x = 12,646,943.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.