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Finding the Third Proportional to 508,944 and 1,105,584

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Solution

The third proportional to 508,944 and 1,105,584 is: 2,401,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,944 : 1,105,584 = 1,105,584 : x
  2. Step 2: Convert to fraction form
    508,944/1,105,584 = 1,105,584/x
  3. Step 3: Cross multiply
    508,944x = 1,105,584 × 1,105,584
  4. Step 4: Simplify right side
    508,944x = 1,222,315,981,056
  5. Step 5: Solve for x
    x = 1,222,315,981,056/508,944
  6. Step 6: Final answer
    x = 2,401,670.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.