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Finding the Third Proportional to 589,069 and 1,221,851

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Solution

The third proportional to 589,069 and 1,221,851 is: 2,534,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,069 : 1,221,851 = 1,221,851 : x
  2. Step 2: Convert to fraction form
    589,069/1,221,851 = 1,221,851/x
  3. Step 3: Cross multiply
    589,069x = 1,221,851 × 1,221,851
  4. Step 4: Simplify right side
    589,069x = 1,492,919,866,201
  5. Step 5: Solve for x
    x = 1,492,919,866,201/589,069
  6. Step 6: Final answer
    x = 2,534,371.81

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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.