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Finding the Third Proportional to 4,482,464 and 6,707,856

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Solution

The third proportional to 4,482,464 and 6,707,856 is: 10,038,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482,464 : 6,707,856 = 6,707,856 : x
  2. Step 2: Convert to fraction form
    4,482,464/6,707,856 = 6,707,856/x
  3. Step 3: Cross multiply
    4,482,464x = 6,707,856 × 6,707,856
  4. Step 4: Simplify right side
    4,482,464x = 44,995,332,116,736
  5. Step 5: Solve for x
    x = 44,995,332,116,736/4,482,464
  6. Step 6: Final answer
    x = 10,038,079.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.