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Finding the Third Proportional to 870,832 and 1,345,075

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Solution

The third proportional to 870,832 and 1,345,075 is: 2,077,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,832 : 1,345,075 = 1,345,075 : x
  2. Step 2: Convert to fraction form
    870,832/1,345,075 = 1,345,075/x
  3. Step 3: Cross multiply
    870,832x = 1,345,075 × 1,345,075
  4. Step 4: Simplify right side
    870,832x = 1,809,226,755,625
  5. Step 5: Solve for x
    x = 1,809,226,755,625/870,832
  6. Step 6: Final answer
    x = 2,077,584.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.