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Finding the Third Proportional to 646,895 and 926,305

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Solution

The third proportional to 646,895 and 926,305 is: 1,326,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,895 : 926,305 = 926,305 : x
  2. Step 2: Convert to fraction form
    646,895/926,305 = 926,305/x
  3. Step 3: Cross multiply
    646,895x = 926,305 × 926,305
  4. Step 4: Simplify right side
    646,895x = 858,040,953,025
  5. Step 5: Solve for x
    x = 858,040,953,025/646,895
  6. Step 6: Final answer
    x = 1,326,399.11

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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.