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Finding the Third Proportional to 971,289 and 2,060,928

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Solution

The third proportional to 971,289 and 2,060,928 is: 4,372,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,289 : 2,060,928 = 2,060,928 : x
  2. Step 2: Convert to fraction form
    971,289/2,060,928 = 2,060,928/x
  3. Step 3: Cross multiply
    971,289x = 2,060,928 × 2,060,928
  4. Step 4: Simplify right side
    971,289x = 4,247,424,221,184
  5. Step 5: Solve for x
    x = 4,247,424,221,184/971,289
  6. Step 6: Final answer
    x = 4,372,976.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.