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Finding the Third Proportional to 417,074 and 893,188

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Solution

The third proportional to 417,074 and 893,188 is: 1,912,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,074 : 893,188 = 893,188 : x
  2. Step 2: Convert to fraction form
    417,074/893,188 = 893,188/x
  3. Step 3: Cross multiply
    417,074x = 893,188 × 893,188
  4. Step 4: Simplify right side
    417,074x = 797,784,803,344
  5. Step 5: Solve for x
    x = 797,784,803,344/417,074
  6. Step 6: Final answer
    x = 1,912,813.56

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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.