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Finding the Third Proportional to 402,440 and 852,846

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Solution

The third proportional to 402,440 and 852,846 is: 1,807,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,440 : 852,846 = 852,846 : x
  2. Step 2: Convert to fraction form
    402,440/852,846 = 852,846/x
  3. Step 3: Cross multiply
    402,440x = 852,846 × 852,846
  4. Step 4: Simplify right side
    402,440x = 727,346,299,716
  5. Step 5: Solve for x
    x = 727,346,299,716/402,440
  6. Step 6: Final answer
    x = 1,807,340.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.