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Finding the Third Proportional to 426,132 and 946,860

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Solution

The third proportional to 426,132 and 946,860 is: 2,103,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,132 : 946,860 = 946,860 : x
  2. Step 2: Convert to fraction form
    426,132/946,860 = 946,860/x
  3. Step 3: Cross multiply
    426,132x = 946,860 × 946,860
  4. Step 4: Simplify right side
    426,132x = 896,543,859,600
  5. Step 5: Solve for x
    x = 896,543,859,600/426,132
  6. Step 6: Final answer
    x = 2,103,911.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.