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Finding the Third Proportional to 2,053,353.80 and 3,220,980.19

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Solution

The third proportional to 2,053,353.80 and 3,220,980.19 is: 5,052,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,353.80 : 3,220,980.19 = 3,220,980.19 : x
  2. Step 2: Convert to fraction form
    2,053,353.80/3,220,980.19 = 3,220,980.19/x
  3. Step 3: Cross multiply
    2,053,353.80x = 3,220,980.19 × 3,220,980.19
  4. Step 4: Simplify right side
    2,053,353.80x = 10,374,713,368,267.54
  5. Step 5: Solve for x
    x = 10,374,713,368,267.54/2,053,353.80
  6. Step 6: Final answer
    x = 5,052,569.79

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