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Finding the Third Proportional to 1,760,535 and 3,857,321.25

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Solution

The third proportional to 1,760,535 and 3,857,321.25 is: 8,451,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,535 : 3,857,321.25 = 3,857,321.25 : x
  2. Step 2: Convert to fraction form
    1,760,535/3,857,321.25 = 3,857,321.25/x
  3. Step 3: Cross multiply
    1,760,535x = 3,857,321.25 × 3,857,321.25
  4. Step 4: Simplify right side
    1,760,535x = 14,878,927,225,701.56
  5. Step 5: Solve for x
    x = 14,878,927,225,701.56/1,760,535
  6. Step 6: Final answer
    x = 8,451,366.90

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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.