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Finding the Third Proportional to 702,133.31 and 1,510,918.31

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Solution

The third proportional to 702,133.31 and 1,510,918.31 is: 3,251,340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,133.31 : 1,510,918.31 = 1,510,918.31 : x
  2. Step 2: Convert to fraction form
    702,133.31/1,510,918.31 = 1,510,918.31/x
  3. Step 3: Cross multiply
    702,133.31x = 1,510,918.31 × 1,510,918.31
  4. Step 4: Simplify right side
    702,133.31x = 2,282,874,147,047.85
  5. Step 5: Solve for x
    x = 2,282,874,147,047.85/702,133.31
  6. Step 6: Final answer
    x = 3,251,340.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.