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Finding the Third Proportional to 683,025.75 and 1,484,146.13

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Solution

The third proportional to 683,025.75 and 1,484,146.13 is: 3,224,899.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,025.75 : 1,484,146.13 = 1,484,146.13 : x
  2. Step 2: Convert to fraction form
    683,025.75/1,484,146.13 = 1,484,146.13/x
  3. Step 3: Cross multiply
    683,025.75x = 1,484,146.13 × 1,484,146.13
  4. Step 4: Simplify right side
    683,025.75x = 2,202,689,720,352.52
  5. Step 5: Solve for x
    x = 2,202,689,720,352.52/683,025.75
  6. Step 6: Final answer
    x = 3,224,899.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.