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Finding the Third Proportional to 1,275,507.56 and 1,933,506.28

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Solution

The third proportional to 1,275,507.56 and 1,933,506.28 is: 2,930,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,507.56 : 1,933,506.28 = 1,933,506.28 : x
  2. Step 2: Convert to fraction form
    1,275,507.56/1,933,506.28 = 1,933,506.28/x
  3. Step 3: Cross multiply
    1,275,507.56x = 1,933,506.28 × 1,933,506.28
  4. Step 4: Simplify right side
    1,275,507.56x = 3,738,446,539,633.20
  5. Step 5: Solve for x
    x = 3,738,446,539,633.20/1,275,507.56
  6. Step 6: Final answer
    x = 2,930,948.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.