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Finding the Third Proportional to 1,937,424 and 4,223,616

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Solution

The third proportional to 1,937,424 and 4,223,616 is: 9,207,551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937,424 : 4,223,616 = 4,223,616 : x
  2. Step 2: Convert to fraction form
    1,937,424/4,223,616 = 4,223,616/x
  3. Step 3: Cross multiply
    1,937,424x = 4,223,616 × 4,223,616
  4. Step 4: Simplify right side
    1,937,424x = 17,838,932,115,456
  5. Step 5: Solve for x
    x = 17,838,932,115,456/1,937,424
  6. Step 6: Final answer
    x = 9,207,551.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.