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Finding the Third Proportional to 611,826 and 897,003

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Solution

The third proportional to 611,826 and 897,003 is: 1,315,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,826 : 897,003 = 897,003 : x
  2. Step 2: Convert to fraction form
    611,826/897,003 = 897,003/x
  3. Step 3: Cross multiply
    611,826x = 897,003 × 897,003
  4. Step 4: Simplify right side
    611,826x = 804,614,382,009
  5. Step 5: Solve for x
    x = 804,614,382,009/611,826
  6. Step 6: Final answer
    x = 1,315,103.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.