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Finding the Third Proportional to 646,882 and 926,286

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Solution

The third proportional to 646,882 and 926,286 is: 1,326,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,882 : 926,286 = 926,286 : x
  2. Step 2: Convert to fraction form
    646,882/926,286 = 926,286/x
  3. Step 3: Cross multiply
    646,882x = 926,286 × 926,286
  4. Step 4: Simplify right side
    646,882x = 858,005,753,796
  5. Step 5: Solve for x
    x = 858,005,753,796/646,882
  6. Step 6: Final answer
    x = 1,326,371.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.