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Finding the Third Proportional to 987,072 and 2,143,272

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Solution

The third proportional to 987,072 and 2,143,272 is: 4,653,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,072 : 2,143,272 = 2,143,272 : x
  2. Step 2: Convert to fraction form
    987,072/2,143,272 = 2,143,272/x
  3. Step 3: Cross multiply
    987,072x = 2,143,272 × 2,143,272
  4. Step 4: Simplify right side
    987,072x = 4,593,614,865,984
  5. Step 5: Solve for x
    x = 4,593,614,865,984/987,072
  6. Step 6: Final answer
    x = 4,653,778.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.