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Finding the Third Proportional to 1,306,072.13 and 2,770,175.81

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Solution

The third proportional to 1,306,072.13 and 2,770,175.81 is: 5,875,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,072.13 : 2,770,175.81 = 2,770,175.81 : x
  2. Step 2: Convert to fraction form
    1,306,072.13/2,770,175.81 = 2,770,175.81/x
  3. Step 3: Cross multiply
    1,306,072.13x = 2,770,175.81 × 2,770,175.81
  4. Step 4: Simplify right side
    1,306,072.13x = 7,673,874,032,160.04
  5. Step 5: Solve for x
    x = 7,673,874,032,160.04/1,306,072.13
  6. Step 6: Final answer
    x = 5,875,536.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.