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Finding the Third Proportional to 4,491,574 and 6,355,324

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Solution

The third proportional to 4,491,574 and 6,355,324 is: 8,992,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491,574 : 6,355,324 = 6,355,324 : x
  2. Step 2: Convert to fraction form
    4,491,574/6,355,324 = 6,355,324/x
  3. Step 3: Cross multiply
    4,491,574x = 6,355,324 × 6,355,324
  4. Step 4: Simplify right side
    4,491,574x = 40,390,143,144,976
  5. Step 5: Solve for x
    x = 40,390,143,144,976/4,491,574
  6. Step 6: Final answer
    x = 8,992,425.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.