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Finding the Third Proportional to 4,039,514 and 6,069,640

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Solution

The third proportional to 4,039,514 and 6,069,640 is: 9,120,040.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039,514 : 6,069,640 = 6,069,640 : x
  2. Step 2: Convert to fraction form
    4,039,514/6,069,640 = 6,069,640/x
  3. Step 3: Cross multiply
    4,039,514x = 6,069,640 × 6,069,640
  4. Step 4: Simplify right side
    4,039,514x = 36,840,529,729,600
  5. Step 5: Solve for x
    x = 36,840,529,729,600/4,039,514
  6. Step 6: Final answer
    x = 9,120,040.12

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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.