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Finding the Third Proportional to 805,281.75 and 1,752,266.25

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Solution

The third proportional to 805,281.75 and 1,752,266.25 is: 3,812,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,281.75 : 1,752,266.25 = 1,752,266.25 : x
  2. Step 2: Convert to fraction form
    805,281.75/1,752,266.25 = 1,752,266.25/x
  3. Step 3: Cross multiply
    805,281.75x = 1,752,266.25 × 1,752,266.25
  4. Step 4: Simplify right side
    805,281.75x = 3,070,437,010,889.06
  5. Step 5: Solve for x
    x = 3,070,437,010,889.06/805,281.75
  6. Step 6: Final answer
    x = 3,812,872.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.