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Finding the Third Proportional to 748,731 and 1,122,729

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Solution

The third proportional to 748,731 and 1,122,729 is: 1,683,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,731 : 1,122,729 = 1,122,729 : x
  2. Step 2: Convert to fraction form
    748,731/1,122,729 = 1,122,729/x
  3. Step 3: Cross multiply
    748,731x = 1,122,729 × 1,122,729
  4. Step 4: Simplify right side
    748,731x = 1,260,520,407,441
  5. Step 5: Solve for x
    x = 1,260,520,407,441/748,731
  6. Step 6: Final answer
    x = 1,683,542.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.