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Finding the Third Proportional to 569,925 and 1,238,624

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Solution

The third proportional to 569,925 and 1,238,624 is: 2,691,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,925 : 1,238,624 = 1,238,624 : x
  2. Step 2: Convert to fraction form
    569,925/1,238,624 = 1,238,624/x
  3. Step 3: Cross multiply
    569,925x = 1,238,624 × 1,238,624
  4. Step 4: Simplify right side
    569,925x = 1,534,189,413,376
  5. Step 5: Solve for x
    x = 1,534,189,413,376/569,925
  6. Step 6: Final answer
    x = 2,691,914.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.