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Finding the Third Proportional to 1,610,414.16 and 3,510,180.56

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Solution

The third proportional to 1,610,414.16 and 3,510,180.56 is: 7,651,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,414.16 : 3,510,180.56 = 3,510,180.56 : x
  2. Step 2: Convert to fraction form
    1,610,414.16/3,510,180.56 = 3,510,180.56/x
  3. Step 3: Cross multiply
    1,610,414.16x = 3,510,180.56 × 3,510,180.56
  4. Step 4: Simplify right side
    1,610,414.16x = 12,321,367,581,352.82
  5. Step 5: Solve for x
    x = 12,321,367,581,352.82/1,610,414.16
  6. Step 6: Final answer
    x = 7,651,055.19

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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.