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Finding the Third Proportional to 709,260.05 and 1,468,989.11

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Solution

The third proportional to 709,260.05 and 1,468,989.11 is: 3,042,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,260.05 : 1,468,989.11 = 1,468,989.11 : x
  2. Step 2: Convert to fraction form
    709,260.05/1,468,989.11 = 1,468,989.11/x
  3. Step 3: Cross multiply
    709,260.05x = 1,468,989.11 × 1,468,989.11
  4. Step 4: Simplify right side
    709,260.05x = 2,157,928,991,986.03
  5. Step 5: Solve for x
    x = 2,157,928,991,986.03/709,260.05
  6. Step 6: Final answer
    x = 3,042,507.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.