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Finding the Third Proportional to 4,454,433 and 6,947,856

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Solution

The third proportional to 4,454,433 and 6,947,856 is: 10,837,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454,433 : 6,947,856 = 6,947,856 : x
  2. Step 2: Convert to fraction form
    4,454,433/6,947,856 = 6,947,856/x
  3. Step 3: Cross multiply
    4,454,433x = 6,947,856 × 6,947,856
  4. Step 4: Simplify right side
    4,454,433x = 48,272,702,996,736
  5. Step 5: Solve for x
    x = 48,272,702,996,736/4,454,433
  6. Step 6: Final answer
    x = 10,837,002.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.