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Finding the Third Proportional to 756,820 and 1,138,419

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Solution

The third proportional to 756,820 and 1,138,419 is: 1,712,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,820 : 1,138,419 = 1,138,419 : x
  2. Step 2: Convert to fraction form
    756,820/1,138,419 = 1,138,419/x
  3. Step 3: Cross multiply
    756,820x = 1,138,419 × 1,138,419
  4. Step 4: Simplify right side
    756,820x = 1,295,997,819,561
  5. Step 5: Solve for x
    x = 1,295,997,819,561/756,820
  6. Step 6: Final answer
    x = 1,712,425.44

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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.