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Finding the Third Proportional to 583,732 and 1,278,182

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Solution

The third proportional to 583,732 and 1,278,182 is: 2,798,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,732 : 1,278,182 = 1,278,182 : x
  2. Step 2: Convert to fraction form
    583,732/1,278,182 = 1,278,182/x
  3. Step 3: Cross multiply
    583,732x = 1,278,182 × 1,278,182
  4. Step 4: Simplify right side
    583,732x = 1,633,749,225,124
  5. Step 5: Solve for x
    x = 1,633,749,225,124/583,732
  6. Step 6: Final answer
    x = 2,798,800.18

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