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Finding the Third Proportional to 439,078 and 912,608

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Solution

The third proportional to 439,078 and 912,608 is: 1,896,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,078 : 912,608 = 912,608 : x
  2. Step 2: Convert to fraction form
    439,078/912,608 = 912,608/x
  3. Step 3: Cross multiply
    439,078x = 912,608 × 912,608
  4. Step 4: Simplify right side
    439,078x = 832,853,361,664
  5. Step 5: Solve for x
    x = 832,853,361,664/439,078
  6. Step 6: Final answer
    x = 1,896,823.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.