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Finding the Third Proportional to 3,492,854 and 5,217,713

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Solution

The third proportional to 3,492,854 and 5,217,713 is: 7,794,350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492,854 : 5,217,713 = 5,217,713 : x
  2. Step 2: Convert to fraction form
    3,492,854/5,217,713 = 5,217,713/x
  3. Step 3: Cross multiply
    3,492,854x = 5,217,713 × 5,217,713
  4. Step 4: Simplify right side
    3,492,854x = 27,224,528,950,369
  5. Step 5: Solve for x
    x = 27,224,528,950,369/3,492,854
  6. Step 6: Final answer
    x = 7,794,350.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.