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Finding the Third Proportional to 896,680 and 1,942,742

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Solution

The third proportional to 896,680 and 1,942,742 is: 4,209,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,680 : 1,942,742 = 1,942,742 : x
  2. Step 2: Convert to fraction form
    896,680/1,942,742 = 1,942,742/x
  3. Step 3: Cross multiply
    896,680x = 1,942,742 × 1,942,742
  4. Step 4: Simplify right side
    896,680x = 3,774,246,478,564
  5. Step 5: Solve for x
    x = 3,774,246,478,564/896,680
  6. Step 6: Final answer
    x = 4,209,134.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.