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Finding the Third Proportional to 611,824 and 897,000

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Solution

The third proportional to 611,824 and 897,000 is: 1,315,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,824 : 897,000 = 897,000 : x
  2. Step 2: Convert to fraction form
    611,824/897,000 = 897,000/x
  3. Step 3: Cross multiply
    611,824x = 897,000 × 897,000
  4. Step 4: Simplify right side
    611,824x = 804,609,000,000
  5. Step 5: Solve for x
    x = 804,609,000,000/611,824
  6. Step 6: Final answer
    x = 1,315,098.79

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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.