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Finding the Third Proportional to 1,345,795 and 2,942,366

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Solution

The third proportional to 1,345,795 and 2,942,366 is: 6,433,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,795 : 2,942,366 = 2,942,366 : x
  2. Step 2: Convert to fraction form
    1,345,795/2,942,366 = 2,942,366/x
  3. Step 3: Cross multiply
    1,345,795x = 2,942,366 × 2,942,366
  4. Step 4: Simplify right side
    1,345,795x = 8,657,517,677,956
  5. Step 5: Solve for x
    x = 8,657,517,677,956/1,345,795
  6. Step 6: Final answer
    x = 6,433,013.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.