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Finding the Third Proportional to 748,728 and 1,122,724

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Solution

The third proportional to 748,728 and 1,122,724 is: 1,683,534.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,728 : 1,122,724 = 1,122,724 : x
  2. Step 2: Convert to fraction form
    748,728/1,122,724 = 1,122,724/x
  3. Step 3: Cross multiply
    748,728x = 1,122,724 × 1,122,724
  4. Step 4: Simplify right side
    748,728x = 1,260,509,180,176
  5. Step 5: Solve for x
    x = 1,260,509,180,176/748,728
  6. Step 6: Final answer
    x = 1,683,534.18

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Why These Related Problems?

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