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Finding the Third Proportional to 788,429.25 and 1,726,121

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Solution

The third proportional to 788,429.25 and 1,726,121 is: 3,779,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,429.25 : 1,726,121 = 1,726,121 : x
  2. Step 2: Convert to fraction form
    788,429.25/1,726,121 = 1,726,121/x
  3. Step 3: Cross multiply
    788,429.25x = 1,726,121 × 1,726,121
  4. Step 4: Simplify right side
    788,429.25x = 2,979,493,706,641
  5. Step 5: Solve for x
    x = 2,979,493,706,641/788,429.25
  6. Step 6: Final answer
    x = 3,779,024.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.