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Finding the Third Proportional to 420,572 and 922,567

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Solution

The third proportional to 420,572 and 922,567 is: 2,023,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,572 : 922,567 = 922,567 : x
  2. Step 2: Convert to fraction form
    420,572/922,567 = 922,567/x
  3. Step 3: Cross multiply
    420,572x = 922,567 × 922,567
  4. Step 4: Simplify right side
    420,572x = 851,129,869,489
  5. Step 5: Solve for x
    x = 851,129,869,489/420,572
  6. Step 6: Final answer
    x = 2,023,743.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.