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Finding the Third Proportional to 1,745,947 and 3,816,542

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Solution

The third proportional to 1,745,947 and 3,816,542 is: 8,342,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,947 : 3,816,542 = 3,816,542 : x
  2. Step 2: Convert to fraction form
    1,745,947/3,816,542 = 3,816,542/x
  3. Step 3: Cross multiply
    1,745,947x = 3,816,542 × 3,816,542
  4. Step 4: Simplify right side
    1,745,947x = 14,565,992,837,764
  5. Step 5: Solve for x
    x = 14,565,992,837,764/1,745,947
  6. Step 6: Final answer
    x = 8,342,746.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.