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Finding the Third Proportional to 823,944 and 1,103,564

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Solution

The third proportional to 823,944 and 1,103,564 is: 1,478,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,944 : 1,103,564 = 1,103,564 : x
  2. Step 2: Convert to fraction form
    823,944/1,103,564 = 1,103,564/x
  3. Step 3: Cross multiply
    823,944x = 1,103,564 × 1,103,564
  4. Step 4: Simplify right side
    823,944x = 1,217,853,502,096
  5. Step 5: Solve for x
    x = 1,217,853,502,096/823,944
  6. Step 6: Final answer
    x = 1,478,078.00

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.