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Finding the Third Proportional to 2,123,638 and 4,620,522

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Solution

The third proportional to 2,123,638 and 4,620,522 is: 10,053,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,638 : 4,620,522 = 4,620,522 : x
  2. Step 2: Convert to fraction form
    2,123,638/4,620,522 = 4,620,522/x
  3. Step 3: Cross multiply
    2,123,638x = 4,620,522 × 4,620,522
  4. Step 4: Simplify right side
    2,123,638x = 21,349,223,552,484
  5. Step 5: Solve for x
    x = 21,349,223,552,484/2,123,638
  6. Step 6: Final answer
    x = 10,053,136.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.