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Finding the Third Proportional to 400,083 and 867,963

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Solution

The third proportional to 400,083 and 867,963 is: 1,883,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,083 : 867,963 = 867,963 : x
  2. Step 2: Convert to fraction form
    400,083/867,963 = 867,963/x
  3. Step 3: Cross multiply
    400,083x = 867,963 × 867,963
  4. Step 4: Simplify right side
    400,083x = 753,359,769,369
  5. Step 5: Solve for x
    x = 753,359,769,369/400,083
  6. Step 6: Final answer
    x = 1,883,008.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.