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Finding the Third Proportional to 722,385 and 1,581,795

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Solution

The third proportional to 722,385 and 1,581,795 is: 3,463,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,385 : 1,581,795 = 1,581,795 : x
  2. Step 2: Convert to fraction form
    722,385/1,581,795 = 1,581,795/x
  3. Step 3: Cross multiply
    722,385x = 1,581,795 × 1,581,795
  4. Step 4: Simplify right side
    722,385x = 2,502,075,422,025
  5. Step 5: Solve for x
    x = 2,502,075,422,025/722,385
  6. Step 6: Final answer
    x = 3,463,631.47

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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.