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Finding the Third Proportional to 394,994 and 849,931

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Solution

The third proportional to 394,994 and 849,931 is: 1,828,844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,994 : 849,931 = 849,931 : x
  2. Step 2: Convert to fraction form
    394,994/849,931 = 849,931/x
  3. Step 3: Cross multiply
    394,994x = 849,931 × 849,931
  4. Step 4: Simplify right side
    394,994x = 722,382,704,761
  5. Step 5: Solve for x
    x = 722,382,704,761/394,994
  6. Step 6: Final answer
    x = 1,828,844.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.