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Finding the Third Proportional to 748,634 and 976,422

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Solution

The third proportional to 748,634 and 976,422 is: 1,273,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,634 : 976,422 = 976,422 : x
  2. Step 2: Convert to fraction form
    748,634/976,422 = 976,422/x
  3. Step 3: Cross multiply
    748,634x = 976,422 × 976,422
  4. Step 4: Simplify right side
    748,634x = 953,399,922,084
  5. Step 5: Solve for x
    x = 953,399,922,084/748,634
  6. Step 6: Final answer
    x = 1,273,519.40

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.