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Finding the Third Proportional to 903,658 and 1,204,742

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Solution

The third proportional to 903,658 and 1,204,742 is: 1,606,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,658 : 1,204,742 = 1,204,742 : x
  2. Step 2: Convert to fraction form
    903,658/1,204,742 = 1,204,742/x
  3. Step 3: Cross multiply
    903,658x = 1,204,742 × 1,204,742
  4. Step 4: Simplify right side
    903,658x = 1,451,403,286,564
  5. Step 5: Solve for x
    x = 1,451,403,286,564/903,658
  6. Step 6: Final answer
    x = 1,606,142.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.