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Finding the Third Proportional to 747,380 and 1,074,412

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Solution

The third proportional to 747,380 and 1,074,412 is: 1,544,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,380 : 1,074,412 = 1,074,412 : x
  2. Step 2: Convert to fraction form
    747,380/1,074,412 = 1,074,412/x
  3. Step 3: Cross multiply
    747,380x = 1,074,412 × 1,074,412
  4. Step 4: Simplify right side
    747,380x = 1,154,361,145,744
  5. Step 5: Solve for x
    x = 1,154,361,145,744/747,380
  6. Step 6: Final answer
    x = 1,544,543.80

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.