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Finding the Third Proportional to 561,566 and 1,325,669

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Solution

The third proportional to 561,566 and 1,325,669 is: 3,129,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,566 : 1,325,669 = 1,325,669 : x
  2. Step 2: Convert to fraction form
    561,566/1,325,669 = 1,325,669/x
  3. Step 3: Cross multiply
    561,566x = 1,325,669 × 1,325,669
  4. Step 4: Simplify right side
    561,566x = 1,757,398,297,561
  5. Step 5: Solve for x
    x = 1,757,398,297,561/561,566
  6. Step 6: Final answer
    x = 3,129,459.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.