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Finding the Third Proportional to 2,371,914 and 5,104,062

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Solution

The third proportional to 2,371,914 and 5,104,062 is: 10,983,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371,914 : 5,104,062 = 5,104,062 : x
  2. Step 2: Convert to fraction form
    2,371,914/5,104,062 = 5,104,062/x
  3. Step 3: Cross multiply
    2,371,914x = 5,104,062 × 5,104,062
  4. Step 4: Simplify right side
    2,371,914x = 26,051,448,899,844
  5. Step 5: Solve for x
    x = 26,051,448,899,844/2,371,914
  6. Step 6: Final answer
    x = 10,983,302.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.