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Finding the Third Proportional to 2,143,722 and 4,598,271

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Solution

The third proportional to 2,143,722 and 4,598,271 is: 9,863,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,722 : 4,598,271 = 4,598,271 : x
  2. Step 2: Convert to fraction form
    2,143,722/4,598,271 = 4,598,271/x
  3. Step 3: Cross multiply
    2,143,722x = 4,598,271 × 4,598,271
  4. Step 4: Simplify right side
    2,143,722x = 21,144,096,189,441
  5. Step 5: Solve for x
    x = 21,144,096,189,441/2,143,722
  6. Step 6: Final answer
    x = 9,863,264.08

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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.