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Finding the Third Proportional to 750,345 and 1,642,993.50

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Solution

The third proportional to 750,345 and 1,642,993.50 is: 3,597,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,345 : 1,642,993.50 = 1,642,993.50 : x
  2. Step 2: Convert to fraction form
    750,345/1,642,993.50 = 1,642,993.50/x
  3. Step 3: Cross multiply
    750,345x = 1,642,993.50 × 1,642,993.50
  4. Step 4: Simplify right side
    750,345x = 2,699,427,641,042.25
  5. Step 5: Solve for x
    x = 2,699,427,641,042.25/750,345
  6. Step 6: Final answer
    x = 3,597,581.97

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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.