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Finding the Third Proportional to 972,600 and 2,113,393

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Solution

The third proportional to 972,600 and 2,113,393 is: 4,592,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,600 : 2,113,393 = 2,113,393 : x
  2. Step 2: Convert to fraction form
    972,600/2,113,393 = 2,113,393/x
  3. Step 3: Cross multiply
    972,600x = 2,113,393 × 2,113,393
  4. Step 4: Simplify right side
    972,600x = 4,466,429,972,449
  5. Step 5: Solve for x
    x = 4,466,429,972,449/972,600
  6. Step 6: Final answer
    x = 4,592,257.84

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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.