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Finding the Third Proportional to 747,768 and 1,122,600

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Solution

The third proportional to 747,768 and 1,122,600 is: 1,685,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,768 : 1,122,600 = 1,122,600 : x
  2. Step 2: Convert to fraction form
    747,768/1,122,600 = 1,122,600/x
  3. Step 3: Cross multiply
    747,768x = 1,122,600 × 1,122,600
  4. Step 4: Simplify right side
    747,768x = 1,260,230,760,000
  5. Step 5: Solve for x
    x = 1,260,230,760,000/747,768
  6. Step 6: Final answer
    x = 1,685,323.20

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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.