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Finding the Third Proportional to 2,156,631.75 and 4,616,208

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Solution

The third proportional to 2,156,631.75 and 4,616,208 is: 9,880,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156,631.75 : 4,616,208 = 4,616,208 : x
  2. Step 2: Convert to fraction form
    2,156,631.75/4,616,208 = 4,616,208/x
  3. Step 3: Cross multiply
    2,156,631.75x = 4,616,208 × 4,616,208
  4. Step 4: Simplify right side
    2,156,631.75x = 21,309,376,299,264
  5. Step 5: Solve for x
    x = 21,309,376,299,264/2,156,631.75
  6. Step 6: Final answer
    x = 9,880,859.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.