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Finding the Third Proportional to 3,237,689 and 4,677,537

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Solution

The third proportional to 3,237,689 and 4,677,537 is: 6,757,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237,689 : 4,677,537 = 4,677,537 : x
  2. Step 2: Convert to fraction form
    3,237,689/4,677,537 = 4,677,537/x
  3. Step 3: Cross multiply
    3,237,689x = 4,677,537 × 4,677,537
  4. Step 4: Simplify right side
    3,237,689x = 21,879,352,386,369
  5. Step 5: Solve for x
    x = 21,879,352,386,369/3,237,689
  6. Step 6: Final answer
    x = 6,757,706.62

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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.