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Finding the Third Proportional to 415,418 and 903,733

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Solution

The third proportional to 415,418 and 903,733 is: 1,966,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,418 : 903,733 = 903,733 : x
  2. Step 2: Convert to fraction form
    415,418/903,733 = 903,733/x
  3. Step 3: Cross multiply
    415,418x = 903,733 × 903,733
  4. Step 4: Simplify right side
    415,418x = 816,733,335,289
  5. Step 5: Solve for x
    x = 816,733,335,289/415,418
  6. Step 6: Final answer
    x = 1,966,051.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.