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Finding the Third Proportional to 415,374 and 893,928

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Solution

The third proportional to 415,374 and 893,928 is: 1,923,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,374 : 893,928 = 893,928 : x
  2. Step 2: Convert to fraction form
    415,374/893,928 = 893,928/x
  3. Step 3: Cross multiply
    415,374x = 893,928 × 893,928
  4. Step 4: Simplify right side
    415,374x = 799,107,269,184
  5. Step 5: Solve for x
    x = 799,107,269,184/415,374
  6. Step 6: Final answer
    x = 1,923,825.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.