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Finding the Third Proportional to 774,174 and 1,138,491

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Solution

The third proportional to 774,174 and 1,138,491 is: 1,674,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,174 : 1,138,491 = 1,138,491 : x
  2. Step 2: Convert to fraction form
    774,174/1,138,491 = 1,138,491/x
  3. Step 3: Cross multiply
    774,174x = 1,138,491 × 1,138,491
  4. Step 4: Simplify right side
    774,174x = 1,296,161,757,081
  5. Step 5: Solve for x
    x = 1,296,161,757,081/774,174
  6. Step 6: Final answer
    x = 1,674,251.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.