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Finding the Third Proportional to 611,076 and 897,885

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Solution

The third proportional to 611,076 and 897,885 is: 1,319,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,076 : 897,885 = 897,885 : x
  2. Step 2: Convert to fraction form
    611,076/897,885 = 897,885/x
  3. Step 3: Cross multiply
    611,076x = 897,885 × 897,885
  4. Step 4: Simplify right side
    611,076x = 806,197,473,225
  5. Step 5: Solve for x
    x = 806,197,473,225/611,076
  6. Step 6: Final answer
    x = 1,319,308.03

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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.