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Finding the Third Proportional to 2,696,497 and 3,792,814

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Solution

The third proportional to 2,696,497 and 3,792,814 is: 5,334,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696,497 : 3,792,814 = 3,792,814 : x
  2. Step 2: Convert to fraction form
    2,696,497/3,792,814 = 3,792,814/x
  3. Step 3: Cross multiply
    2,696,497x = 3,792,814 × 3,792,814
  4. Step 4: Simplify right side
    2,696,497x = 14,385,438,038,596
  5. Step 5: Solve for x
    x = 14,385,438,038,596/2,696,497
  6. Step 6: Final answer
    x = 5,334,861.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.