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Finding the Third Proportional to 646,910 and 926,327

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Solution

The third proportional to 646,910 and 926,327 is: 1,326,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,910 : 926,327 = 926,327 : x
  2. Step 2: Convert to fraction form
    646,910/926,327 = 926,327/x
  3. Step 3: Cross multiply
    646,910x = 926,327 × 926,327
  4. Step 4: Simplify right side
    646,910x = 858,081,710,929
  5. Step 5: Solve for x
    x = 858,081,710,929/646,910
  6. Step 6: Final answer
    x = 1,326,431.36

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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.