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Finding the Third Proportional to 824,001 and 1,805,101.50

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Solution

The third proportional to 824,001 and 1,805,101.50 is: 3,954,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,001 : 1,805,101.50 = 1,805,101.50 : x
  2. Step 2: Convert to fraction form
    824,001/1,805,101.50 = 1,805,101.50/x
  3. Step 3: Cross multiply
    824,001x = 1,805,101.50 × 1,805,101.50
  4. Step 4: Simplify right side
    824,001x = 3,258,391,425,302.25
  5. Step 5: Solve for x
    x = 3,258,391,425,302.25/824,001
  6. Step 6: Final answer
    x = 3,954,353.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.