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Finding the Third Proportional to 1,048,700.67 and 1,619,412.75

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Solution

The third proportional to 1,048,700.67 and 1,619,412.75 is: 2,500,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,700.67 : 1,619,412.75 = 1,619,412.75 : x
  2. Step 2: Convert to fraction form
    1,048,700.67/1,619,412.75 = 1,619,412.75/x
  3. Step 3: Cross multiply
    1,048,700.67x = 1,619,412.75 × 1,619,412.75
  4. Step 4: Simplify right side
    1,048,700.67x = 2,622,497,654,862.56
  5. Step 5: Solve for x
    x = 2,622,497,654,862.56/1,048,700.67
  6. Step 6: Final answer
    x = 2,500,711.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.