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Finding the Third Proportional to 756,777 and 1,138,344

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Solution

The third proportional to 756,777 and 1,138,344 is: 1,712,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,777 : 1,138,344 = 1,138,344 : x
  2. Step 2: Convert to fraction form
    756,777/1,138,344 = 1,138,344/x
  3. Step 3: Cross multiply
    756,777x = 1,138,344 × 1,138,344
  4. Step 4: Simplify right side
    756,777x = 1,295,827,062,336
  5. Step 5: Solve for x
    x = 1,295,827,062,336/756,777
  6. Step 6: Final answer
    x = 1,712,297.10

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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.