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Finding the Third Proportional to 404,005 and 849,887

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Solution

The third proportional to 404,005 and 849,887 is: 1,787,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,005 : 849,887 = 849,887 : x
  2. Step 2: Convert to fraction form
    404,005/849,887 = 849,887/x
  3. Step 3: Cross multiply
    404,005x = 849,887 × 849,887
  4. Step 4: Simplify right side
    404,005x = 722,307,912,769
  5. Step 5: Solve for x
    x = 722,307,912,769/404,005
  6. Step 6: Final answer
    x = 1,787,868.75

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