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Finding the Third Proportional to 3,998,116.63 and 5,698,122.81

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Solution

The third proportional to 3,998,116.63 and 5,698,122.81 is: 8,120,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998,116.63 : 5,698,122.81 = 5,698,122.81 : x
  2. Step 2: Convert to fraction form
    3,998,116.63/5,698,122.81 = 5,698,122.81/x
  3. Step 3: Cross multiply
    3,998,116.63x = 5,698,122.81 × 5,698,122.81
  4. Step 4: Simplify right side
    3,998,116.63x = 32,468,603,586,332.91
  5. Step 5: Solve for x
    x = 32,468,603,586,332.91/3,998,116.63
  6. Step 6: Final answer
    x = 8,120,974.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.