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Finding the Third Proportional to 2,014,531 and 4,327,231

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Solution

The third proportional to 2,014,531 and 4,327,231 is: 9,294,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,531 : 4,327,231 = 4,327,231 : x
  2. Step 2: Convert to fraction form
    2,014,531/4,327,231 = 4,327,231/x
  3. Step 3: Cross multiply
    2,014,531x = 4,327,231 × 4,327,231
  4. Step 4: Simplify right side
    2,014,531x = 18,724,928,127,361
  5. Step 5: Solve for x
    x = 18,724,928,127,361/2,014,531
  6. Step 6: Final answer
    x = 9,294,931.74

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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.