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Finding the Third Proportional to 1,161,143.53 and 2,428,160.06

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Solution

The third proportional to 1,161,143.53 and 2,428,160.06 is: 5,077,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,143.53 : 2,428,160.06 = 2,428,160.06 : x
  2. Step 2: Convert to fraction form
    1,161,143.53/2,428,160.06 = 2,428,160.06/x
  3. Step 3: Cross multiply
    1,161,143.53x = 2,428,160.06 × 2,428,160.06
  4. Step 4: Simplify right side
    1,161,143.53x = 5,895,961,289,120.00
  5. Step 5: Solve for x
    x = 5,895,961,289,120.00/1,161,143.53
  6. Step 6: Final answer
    x = 5,077,719.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.