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Finding the Third Proportional to 404,003 and 849,883

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Solution

The third proportional to 404,003 and 849,883 is: 1,787,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,003 : 849,883 = 849,883 : x
  2. Step 2: Convert to fraction form
    404,003/849,883 = 849,883/x
  3. Step 3: Cross multiply
    404,003x = 849,883 × 849,883
  4. Step 4: Simplify right side
    404,003x = 722,301,113,689
  5. Step 5: Solve for x
    x = 722,301,113,689/404,003
  6. Step 6: Final answer
    x = 1,787,860.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.