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Finding the Third Proportional to 1,738,709 and 3,734,514

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Solution

The third proportional to 1,738,709 and 3,734,514 is: 8,021,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,709 : 3,734,514 = 3,734,514 : x
  2. Step 2: Convert to fraction form
    1,738,709/3,734,514 = 3,734,514/x
  3. Step 3: Cross multiply
    1,738,709x = 3,734,514 × 3,734,514
  4. Step 4: Simplify right side
    1,738,709x = 13,946,594,816,196
  5. Step 5: Solve for x
    x = 13,946,594,816,196/1,738,709
  6. Step 6: Final answer
    x = 8,021,235.77

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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.