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Finding the Third Proportional to 869,256.56 and 1,329,726.38

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Solution

The third proportional to 869,256.56 and 1,329,726.38 is: 2,034,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,256.56 : 1,329,726.38 = 1,329,726.38 : x
  2. Step 2: Convert to fraction form
    869,256.56/1,329,726.38 = 1,329,726.38/x
  3. Step 3: Cross multiply
    869,256.56x = 1,329,726.38 × 1,329,726.38
  4. Step 4: Simplify right side
    869,256.56x = 1,768,172,232,370.64
  5. Step 5: Solve for x
    x = 1,768,172,232,370.64/869,256.56
  6. Step 6: Final answer
    x = 2,034,120.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.