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Finding the Third Proportional to 1,212,585.19 and 1,902,187.13

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Solution

The third proportional to 1,212,585.19 and 1,902,187.13 is: 2,983,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,585.19 : 1,902,187.13 = 1,902,187.13 : x
  2. Step 2: Convert to fraction form
    1,212,585.19/1,902,187.13 = 1,902,187.13/x
  3. Step 3: Cross multiply
    1,212,585.19x = 1,902,187.13 × 1,902,187.13
  4. Step 4: Simplify right side
    1,212,585.19x = 3,618,315,858,515.77
  5. Step 5: Solve for x
    x = 3,618,315,858,515.77/1,212,585.19
  6. Step 6: Final answer
    x = 2,983,968.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.