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Finding the Third Proportional to 561,564 and 1,325,664

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Solution

The third proportional to 561,564 and 1,325,664 is: 3,129,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,564 : 1,325,664 = 1,325,664 : x
  2. Step 2: Convert to fraction form
    561,564/1,325,664 = 1,325,664/x
  3. Step 3: Cross multiply
    561,564x = 1,325,664 × 1,325,664
  4. Step 4: Simplify right side
    561,564x = 1,757,385,040,896
  5. Step 5: Solve for x
    x = 1,757,385,040,896/561,564
  6. Step 6: Final answer
    x = 3,129,447.47

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