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Finding the Third Proportional to 774,116 and 1,138,398

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Solution

The third proportional to 774,116 and 1,138,398 is: 1,674,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,116 : 1,138,398 = 1,138,398 : x
  2. Step 2: Convert to fraction form
    774,116/1,138,398 = 1,138,398/x
  3. Step 3: Cross multiply
    774,116x = 1,138,398 × 1,138,398
  4. Step 4: Simplify right side
    774,116x = 1,295,950,006,404
  5. Step 5: Solve for x
    x = 1,295,950,006,404/774,116
  6. Step 6: Final answer
    x = 1,674,103.11

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