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Finding the Third Proportional to 1,070,529 and 1,565,589

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Solution

The third proportional to 1,070,529 and 1,565,589 is: 2,289,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,529 : 1,565,589 = 1,565,589 : x
  2. Step 2: Convert to fraction form
    1,070,529/1,565,589 = 1,565,589/x
  3. Step 3: Cross multiply
    1,070,529x = 1,565,589 × 1,565,589
  4. Step 4: Simplify right side
    1,070,529x = 2,451,068,916,921
  5. Step 5: Solve for x
    x = 2,451,068,916,921/1,070,529
  6. Step 6: Final answer
    x = 2,289,586.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.