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Finding the Third Proportional to 565,586 and 1,189,342

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Solution

The third proportional to 565,586 and 1,189,342 is: 2,501,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,586 : 1,189,342 = 1,189,342 : x
  2. Step 2: Convert to fraction form
    565,586/1,189,342 = 1,189,342/x
  3. Step 3: Cross multiply
    565,586x = 1,189,342 × 1,189,342
  4. Step 4: Simplify right side
    565,586x = 1,414,534,392,964
  5. Step 5: Solve for x
    x = 1,414,534,392,964/565,586
  6. Step 6: Final answer
    x = 2,501,006.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.