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Finding the Third Proportional to 3,237,569 and 4,677,339

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Solution

The third proportional to 3,237,569 and 4,677,339 is: 6,757,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237,569 : 4,677,339 = 4,677,339 : x
  2. Step 2: Convert to fraction form
    3,237,569/4,677,339 = 4,677,339/x
  3. Step 3: Cross multiply
    3,237,569x = 4,677,339 × 4,677,339
  4. Step 4: Simplify right side
    3,237,569x = 21,877,500,120,921
  5. Step 5: Solve for x
    x = 21,877,500,120,921/3,237,569
  6. Step 6: Final answer
    x = 6,757,384.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.