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Finding the Third Proportional to 614,354 and 1,277,738

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Solution

The third proportional to 614,354 and 1,277,738 is: 2,657,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,354 : 1,277,738 = 1,277,738 : x
  2. Step 2: Convert to fraction form
    614,354/1,277,738 = 1,277,738/x
  3. Step 3: Cross multiply
    614,354x = 1,277,738 × 1,277,738
  4. Step 4: Simplify right side
    614,354x = 1,632,614,396,644
  5. Step 5: Solve for x
    x = 1,632,614,396,644/614,354
  6. Step 6: Final answer
    x = 2,657,448.96

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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.