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Finding the Third Proportional to 969,408 and 1,480,356

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Solution

The third proportional to 969,408 and 1,480,356 is: 2,260,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,408 : 1,480,356 = 1,480,356 : x
  2. Step 2: Convert to fraction form
    969,408/1,480,356 = 1,480,356/x
  3. Step 3: Cross multiply
    969,408x = 1,480,356 × 1,480,356
  4. Step 4: Simplify right side
    969,408x = 2,191,453,886,736
  5. Step 5: Solve for x
    x = 2,191,453,886,736/969,408
  6. Step 6: Final answer
    x = 2,260,610.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.