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Finding the Third Proportional to 748,566 and 1,150,611

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Solution

The third proportional to 748,566 and 1,150,611 is: 1,768,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,566 : 1,150,611 = 1,150,611 : x
  2. Step 2: Convert to fraction form
    748,566/1,150,611 = 1,150,611/x
  3. Step 3: Cross multiply
    748,566x = 1,150,611 × 1,150,611
  4. Step 4: Simplify right side
    748,566x = 1,323,905,673,321
  5. Step 5: Solve for x
    x = 1,323,905,673,321/748,566
  6. Step 6: Final answer
    x = 1,768,589.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.