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Finding the Third Proportional to 969,468 and 2,073,720

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Solution

The third proportional to 969,468 and 2,073,720 is: 4,435,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,468 : 2,073,720 = 2,073,720 : x
  2. Step 2: Convert to fraction form
    969,468/2,073,720 = 2,073,720/x
  3. Step 3: Cross multiply
    969,468x = 2,073,720 × 2,073,720
  4. Step 4: Simplify right side
    969,468x = 4,300,314,638,400
  5. Step 5: Solve for x
    x = 4,300,314,638,400/969,468
  6. Step 6: Final answer
    x = 4,435,746.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.