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Finding the Third Proportional to 821,756 and 1,234,572

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Solution

The third proportional to 821,756 and 1,234,572 is: 1,854,769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,756 : 1,234,572 = 1,234,572 : x
  2. Step 2: Convert to fraction form
    821,756/1,234,572 = 1,234,572/x
  3. Step 3: Cross multiply
    821,756x = 1,234,572 × 1,234,572
  4. Step 4: Simplify right side
    821,756x = 1,524,168,023,184
  5. Step 5: Solve for x
    x = 1,524,168,023,184/821,756
  6. Step 6: Final answer
    x = 1,854,769.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.