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Finding the Third Proportional to 1,465,538.06 and 3,181,740.75

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Solution

The third proportional to 1,465,538.06 and 3,181,740.75 is: 6,907,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,538.06 : 3,181,740.75 = 3,181,740.75 : x
  2. Step 2: Convert to fraction form
    1,465,538.06/3,181,740.75 = 3,181,740.75/x
  3. Step 3: Cross multiply
    1,465,538.06x = 3,181,740.75 × 3,181,740.75
  4. Step 4: Simplify right side
    1,465,538.06x = 10,123,474,200,210.56
  5. Step 5: Solve for x
    x = 10,123,474,200,210.56/1,465,538.06
  6. Step 6: Final answer
    x = 6,907,684.26

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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.