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Finding the Third Proportional to 855,964.13 and 2,024,259.19

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Solution

The third proportional to 855,964.13 and 2,024,259.19 is: 4,787,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,964.13 : 2,024,259.19 = 2,024,259.19 : x
  2. Step 2: Convert to fraction form
    855,964.13/2,024,259.19 = 2,024,259.19/x
  3. Step 3: Cross multiply
    855,964.13x = 2,024,259.19 × 2,024,259.19
  4. Step 4: Simplify right side
    855,964.13x = 4,097,625,258,178.16
  5. Step 5: Solve for x
    x = 4,097,625,258,178.16/855,964.13
  6. Step 6: Final answer
    x = 4,787,146.02

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.