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Finding the Third Proportional to 400,905 and 864,012

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Solution

The third proportional to 400,905 and 864,012 is: 1,862,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,905 : 864,012 = 864,012 : x
  2. Step 2: Convert to fraction form
    400,905/864,012 = 864,012/x
  3. Step 3: Cross multiply
    400,905x = 864,012 × 864,012
  4. Step 4: Simplify right side
    400,905x = 746,516,736,144
  5. Step 5: Solve for x
    x = 746,516,736,144/400,905
  6. Step 6: Final answer
    x = 1,862,078.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.