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Finding the Third Proportional to 4,211,760 and 6,159,684

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Solution

The third proportional to 4,211,760 and 6,159,684 is: 9,008,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,760 : 6,159,684 = 6,159,684 : x
  2. Step 2: Convert to fraction form
    4,211,760/6,159,684 = 6,159,684/x
  3. Step 3: Cross multiply
    4,211,760x = 6,159,684 × 6,159,684
  4. Step 4: Simplify right side
    4,211,760x = 37,941,706,979,856
  5. Step 5: Solve for x
    x = 37,941,706,979,856/4,211,760
  6. Step 6: Final answer
    x = 9,008,515.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.