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Finding the Third Proportional to 969,470 and 2,073,724

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Solution

The third proportional to 969,470 and 2,073,724 is: 4,435,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,470 : 2,073,724 = 2,073,724 : x
  2. Step 2: Convert to fraction form
    969,470/2,073,724 = 2,073,724/x
  3. Step 3: Cross multiply
    969,470x = 2,073,724 × 2,073,724
  4. Step 4: Simplify right side
    969,470x = 4,300,331,228,176
  5. Step 5: Solve for x
    x = 4,300,331,228,176/969,470
  6. Step 6: Final answer
    x = 4,435,754.82

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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.