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Finding the Third Proportional to 462,669.75 and 1,070,986.50

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Solution

The third proportional to 462,669.75 and 1,070,986.50 is: 2,479,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,669.75 : 1,070,986.50 = 1,070,986.50 : x
  2. Step 2: Convert to fraction form
    462,669.75/1,070,986.50 = 1,070,986.50/x
  3. Step 3: Cross multiply
    462,669.75x = 1,070,986.50 × 1,070,986.50
  4. Step 4: Simplify right side
    462,669.75x = 1,147,012,083,182.25
  5. Step 5: Solve for x
    x = 1,147,012,083,182.25/462,669.75
  6. Step 6: Final answer
    x = 2,479,116.22

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.