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Finding the Third Proportional to 1,726,505.69 and 2,708,377.92

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Solution

The third proportional to 1,726,505.69 and 2,708,377.92 is: 4,248,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726,505.69 : 2,708,377.92 = 2,708,377.92 : x
  2. Step 2: Convert to fraction form
    1,726,505.69/2,708,377.92 = 2,708,377.92/x
  3. Step 3: Cross multiply
    1,726,505.69x = 2,708,377.92 × 2,708,377.92
  4. Step 4: Simplify right side
    1,726,505.69x = 7,335,310,939,928.24
  5. Step 5: Solve for x
    x = 7,335,310,939,928.24/1,726,505.69
  6. Step 6: Final answer
    x = 4,248,645.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.