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Finding the Third Proportional to 4,437,084 and 6,340,695

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Solution

The third proportional to 4,437,084 and 6,340,695 is: 9,060,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,437,084 : 6,340,695 = 6,340,695 : x
  2. Step 2: Convert to fraction form
    4,437,084/6,340,695 = 6,340,695/x
  3. Step 3: Cross multiply
    4,437,084x = 6,340,695 × 6,340,695
  4. Step 4: Simplify right side
    4,437,084x = 40,204,413,083,025
  5. Step 5: Solve for x
    x = 40,204,413,083,025/4,437,084
  6. Step 6: Final answer
    x = 9,060,998.86

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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.