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Finding the Third Proportional to 869,811 and 1,799,289

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Solution

The third proportional to 869,811 and 1,799,289 is: 3,722,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,811 : 1,799,289 = 1,799,289 : x
  2. Step 2: Convert to fraction form
    869,811/1,799,289 = 1,799,289/x
  3. Step 3: Cross multiply
    869,811x = 1,799,289 × 1,799,289
  4. Step 4: Simplify right side
    869,811x = 3,237,440,905,521
  5. Step 5: Solve for x
    x = 3,237,440,905,521/869,811
  6. Step 6: Final answer
    x = 3,722,005.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.