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Finding the Third Proportional to 2,652,843 and 5,683,901

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Solution

The third proportional to 2,652,843 and 5,683,901 is: 12,178,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652,843 : 5,683,901 = 5,683,901 : x
  2. Step 2: Convert to fraction form
    2,652,843/5,683,901 = 5,683,901/x
  3. Step 3: Cross multiply
    2,652,843x = 5,683,901 × 5,683,901
  4. Step 4: Simplify right side
    2,652,843x = 32,306,730,577,801
  5. Step 5: Solve for x
    x = 32,306,730,577,801/2,652,843
  6. Step 6: Final answer
    x = 12,178,153.99

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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.