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Finding the Third Proportional to 2,237,653 and 3,441,431

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Solution

The third proportional to 2,237,653 and 3,441,431 is: 5,292,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237,653 : 3,441,431 = 3,441,431 : x
  2. Step 2: Convert to fraction form
    2,237,653/3,441,431 = 3,441,431/x
  3. Step 3: Cross multiply
    2,237,653x = 3,441,431 × 3,441,431
  4. Step 4: Simplify right side
    2,237,653x = 11,843,447,327,761
  5. Step 5: Solve for x
    x = 11,843,447,327,761/2,237,653
  6. Step 6: Final answer
    x = 5,292,798.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.