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Finding the Third Proportional to 2,707,982 and 5,839,156

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Solution

The third proportional to 2,707,982 and 5,839,156 is: 12,590,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707,982 : 5,839,156 = 5,839,156 : x
  2. Step 2: Convert to fraction form
    2,707,982/5,839,156 = 5,839,156/x
  3. Step 3: Cross multiply
    2,707,982x = 5,839,156 × 5,839,156
  4. Step 4: Simplify right side
    2,707,982x = 34,095,742,792,336
  5. Step 5: Solve for x
    x = 34,095,742,792,336/2,707,982
  6. Step 6: Final answer
    x = 12,590,830.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.