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Finding the Third Proportional to 1,674,452.25 and 3,668,064.75

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Solution

The third proportional to 1,674,452.25 and 3,668,064.75 is: 8,035,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674,452.25 : 3,668,064.75 = 3,668,064.75 : x
  2. Step 2: Convert to fraction form
    1,674,452.25/3,668,064.75 = 3,668,064.75/x
  3. Step 3: Cross multiply
    1,674,452.25x = 3,668,064.75 × 3,668,064.75
  4. Step 4: Simplify right side
    1,674,452.25x = 13,454,699,010,192.56
  5. Step 5: Solve for x
    x = 13,454,699,010,192.56/1,674,452.25
  6. Step 6: Final answer
    x = 8,035,283.78

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