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Finding the Third Proportional to 583,758 and 1,267,156

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Solution

The third proportional to 583,758 and 1,267,156 is: 2,750,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,758 : 1,267,156 = 1,267,156 : x
  2. Step 2: Convert to fraction form
    583,758/1,267,156 = 1,267,156/x
  3. Step 3: Cross multiply
    583,758x = 1,267,156 × 1,267,156
  4. Step 4: Simplify right side
    583,758x = 1,605,684,328,336
  5. Step 5: Solve for x
    x = 1,605,684,328,336/583,758
  6. Step 6: Final answer
    x = 2,750,599.27

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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.