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Finding the Third Proportional to 432,441 and 946,336

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Solution

The third proportional to 432,441 and 946,336 is: 2,070,922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,441 : 946,336 = 946,336 : x
  2. Step 2: Convert to fraction form
    432,441/946,336 = 946,336/x
  3. Step 3: Cross multiply
    432,441x = 946,336 × 946,336
  4. Step 4: Simplify right side
    432,441x = 895,551,824,896
  5. Step 5: Solve for x
    x = 895,551,824,896/432,441
  6. Step 6: Final answer
    x = 2,070,922.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.