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Finding the Third Proportional to 1,857,943.13 and 2,616,409.69

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Solution

The third proportional to 1,857,943.13 and 2,616,409.69 is: 3,684,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857,943.13 : 2,616,409.69 = 2,616,409.69 : x
  2. Step 2: Convert to fraction form
    1,857,943.13/2,616,409.69 = 2,616,409.69/x
  3. Step 3: Cross multiply
    1,857,943.13x = 2,616,409.69 × 2,616,409.69
  4. Step 4: Simplify right side
    1,857,943.13x = 6,845,599,652,843.85
  5. Step 5: Solve for x
    x = 6,845,599,652,843.85/1,857,943.13
  6. Step 6: Final answer
    x = 3,684,504.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.