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Finding the Third Proportional to 643,442 and 946,431

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Solution

The third proportional to 643,442 and 946,431 is: 1,392,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,442 : 946,431 = 946,431 : x
  2. Step 2: Convert to fraction form
    643,442/946,431 = 946,431/x
  3. Step 3: Cross multiply
    643,442x = 946,431 × 946,431
  4. Step 4: Simplify right side
    643,442x = 895,731,637,761
  5. Step 5: Solve for x
    x = 895,731,637,761/643,442
  6. Step 6: Final answer
    x = 1,392,093.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.