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Finding the Third Proportional to 2,171,427 and 4,700,286

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Solution

The third proportional to 2,171,427 and 4,700,286 is: 10,174,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,427 : 4,700,286 = 4,700,286 : x
  2. Step 2: Convert to fraction form
    2,171,427/4,700,286 = 4,700,286/x
  3. Step 3: Cross multiply
    2,171,427x = 4,700,286 × 4,700,286
  4. Step 4: Simplify right side
    2,171,427x = 22,092,688,481,796
  5. Step 5: Solve for x
    x = 22,092,688,481,796/2,171,427
  6. Step 6: Final answer
    x = 10,174,271.80

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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.