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Finding the Third Proportional to 1,743,769 and 3,762,722

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Solution

The third proportional to 1,743,769 and 3,762,722 is: 8,119,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,769 : 3,762,722 = 3,762,722 : x
  2. Step 2: Convert to fraction form
    1,743,769/3,762,722 = 3,762,722/x
  3. Step 3: Cross multiply
    1,743,769x = 3,762,722 × 3,762,722
  4. Step 4: Simplify right side
    1,743,769x = 14,158,076,849,284
  5. Step 5: Solve for x
    x = 14,158,076,849,284/1,743,769
  6. Step 6: Final answer
    x = 8,119,238.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.