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Finding the Third Proportional to 724,758 and 1,705,311

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Solution

The third proportional to 724,758 and 1,705,311 is: 4,012,491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,758 : 1,705,311 = 1,705,311 : x
  2. Step 2: Convert to fraction form
    724,758/1,705,311 = 1,705,311/x
  3. Step 3: Cross multiply
    724,758x = 1,705,311 × 1,705,311
  4. Step 4: Simplify right side
    724,758x = 2,908,085,606,721
  5. Step 5: Solve for x
    x = 2,908,085,606,721/724,758
  6. Step 6: Final answer
    x = 4,012,491.90

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.