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Finding the Third Proportional to 1,407,134.63 and 3,318,414.38

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Solution

The third proportional to 1,407,134.63 and 3,318,414.38 is: 7,825,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,134.63 : 3,318,414.38 = 3,318,414.38 : x
  2. Step 2: Convert to fraction form
    1,407,134.63/3,318,414.38 = 3,318,414.38/x
  3. Step 3: Cross multiply
    1,407,134.63x = 3,318,414.38 × 3,318,414.38
  4. Step 4: Simplify right side
    1,407,134.63x = 11,011,873,964,206.64
  5. Step 5: Solve for x
    x = 11,011,873,964,206.64/1,407,134.63
  6. Step 6: Final answer
    x = 7,825,743.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.