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Finding the Third Proportional to 2,108,314 and 4,622,924

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Solution

The third proportional to 2,108,314 and 4,622,924 is: 10,136,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108,314 : 4,622,924 = 4,622,924 : x
  2. Step 2: Convert to fraction form
    2,108,314/4,622,924 = 4,622,924/x
  3. Step 3: Cross multiply
    2,108,314x = 4,622,924 × 4,622,924
  4. Step 4: Simplify right side
    2,108,314x = 21,371,426,309,776
  5. Step 5: Solve for x
    x = 21,371,426,309,776/2,108,314
  6. Step 6: Final answer
    x = 10,136,737.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.