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Finding the Third Proportional to 2,076,159 and 4,462,710

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Solution

The third proportional to 2,076,159 and 4,462,710 is: 9,592,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076,159 : 4,462,710 = 4,462,710 : x
  2. Step 2: Convert to fraction form
    2,076,159/4,462,710 = 4,462,710/x
  3. Step 3: Cross multiply
    2,076,159x = 4,462,710 × 4,462,710
  4. Step 4: Simplify right side
    2,076,159x = 19,915,780,544,100
  5. Step 5: Solve for x
    x = 19,915,780,544,100/2,076,159
  6. Step 6: Final answer
    x = 9,592,608.54

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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.