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Finding the Third Proportional to 2,412,076 and 5,243,384

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Solution

The third proportional to 2,412,076 and 5,243,384 is: 11,398,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412,076 : 5,243,384 = 5,243,384 : x
  2. Step 2: Convert to fraction form
    2,412,076/5,243,384 = 5,243,384/x
  3. Step 3: Cross multiply
    2,412,076x = 5,243,384 × 5,243,384
  4. Step 4: Simplify right side
    2,412,076x = 27,493,075,771,456
  5. Step 5: Solve for x
    x = 27,493,075,771,456/2,412,076
  6. Step 6: Final answer
    x = 11,398,096.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.