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Finding the Third Proportional to 964,938.38 and 1,419,342.75

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Solution

The third proportional to 964,938.38 and 1,419,342.75 is: 2,087,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,938.38 : 1,419,342.75 = 1,419,342.75 : x
  2. Step 2: Convert to fraction form
    964,938.38/1,419,342.75 = 1,419,342.75/x
  3. Step 3: Cross multiply
    964,938.38x = 1,419,342.75 × 1,419,342.75
  4. Step 4: Simplify right side
    964,938.38x = 2,014,533,841,977.56
  5. Step 5: Solve for x
    x = 2,014,533,841,977.56/964,938.38
  6. Step 6: Final answer
    x = 2,087,733.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.