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Finding the Third Proportional to 1,752,189 and 2,561,762.25

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Solution

The third proportional to 1,752,189 and 2,561,762.25 is: 3,745,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752,189 : 2,561,762.25 = 2,561,762.25 : x
  2. Step 2: Convert to fraction form
    1,752,189/2,561,762.25 = 2,561,762.25/x
  3. Step 3: Cross multiply
    1,752,189x = 2,561,762.25 × 2,561,762.25
  4. Step 4: Simplify right side
    1,752,189x = 6,562,625,825,525.06
  5. Step 5: Solve for x
    x = 6,562,625,825,525.06/1,752,189
  6. Step 6: Final answer
    x = 3,745,386.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.