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Finding the Third Proportional to 2,123,638 and 4,620,518

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Solution

The third proportional to 2,123,638 and 4,620,518 is: 10,053,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,638 : 4,620,518 = 4,620,518 : x
  2. Step 2: Convert to fraction form
    2,123,638/4,620,518 = 4,620,518/x
  3. Step 3: Cross multiply
    2,123,638x = 4,620,518 × 4,620,518
  4. Step 4: Simplify right side
    2,123,638x = 21,349,186,588,324
  5. Step 5: Solve for x
    x = 21,349,186,588,324/2,123,638
  6. Step 6: Final answer
    x = 10,053,119.50

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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.