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Finding the Third Proportional to 432,442 and 946,338

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Solution

The third proportional to 432,442 and 946,338 is: 2,070,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,442 : 946,338 = 946,338 : x
  2. Step 2: Convert to fraction form
    432,442/946,338 = 946,338/x
  3. Step 3: Cross multiply
    432,442x = 946,338 × 946,338
  4. Step 4: Simplify right side
    432,442x = 895,555,610,244
  5. Step 5: Solve for x
    x = 895,555,610,244/432,442
  6. Step 6: Final answer
    x = 2,070,926.53

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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.