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Finding the Third Proportional to 2,652,894 and 5,684,301

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Solution

The third proportional to 2,652,894 and 5,684,301 is: 12,179,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652,894 : 5,684,301 = 5,684,301 : x
  2. Step 2: Convert to fraction form
    2,652,894/5,684,301 = 5,684,301/x
  3. Step 3: Cross multiply
    2,652,894x = 5,684,301 × 5,684,301
  4. Step 4: Simplify right side
    2,652,894x = 32,311,277,858,601
  5. Step 5: Solve for x
    x = 32,311,277,858,601/2,652,894
  6. Step 6: Final answer
    x = 12,179,633.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.