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Finding the Third Proportional to 600,422 and 913,006

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Solution

The third proportional to 600,422 and 913,006 is: 1,388,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,422 : 913,006 = 913,006 : x
  2. Step 2: Convert to fraction form
    600,422/913,006 = 913,006/x
  3. Step 3: Cross multiply
    600,422x = 913,006 × 913,006
  4. Step 4: Simplify right side
    600,422x = 833,579,956,036
  5. Step 5: Solve for x
    x = 833,579,956,036/600,422
  6. Step 6: Final answer
    x = 1,388,323.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.