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Finding the Third Proportional to 559,944 and 861,834

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Solution

The third proportional to 559,944 and 861,834 is: 1,326,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,944 : 861,834 = 861,834 : x
  2. Step 2: Convert to fraction form
    559,944/861,834 = 861,834/x
  3. Step 3: Cross multiply
    559,944x = 861,834 × 861,834
  4. Step 4: Simplify right side
    559,944x = 742,757,843,556
  5. Step 5: Solve for x
    x = 742,757,843,556/559,944
  6. Step 6: Final answer
    x = 1,326,485.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.