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Finding the Third Proportional to 2,231,148 and 4,594,344

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Solution

The third proportional to 2,231,148 and 4,594,344 is: 9,460,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,148 : 4,594,344 = 4,594,344 : x
  2. Step 2: Convert to fraction form
    2,231,148/4,594,344 = 4,594,344/x
  3. Step 3: Cross multiply
    2,231,148x = 4,594,344 × 4,594,344
  4. Step 4: Simplify right side
    2,231,148x = 21,107,996,790,336
  5. Step 5: Solve for x
    x = 21,107,996,790,336/2,231,148
  6. Step 6: Final answer
    x = 9,460,599.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.