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Finding the Third Proportional to 2,123,634 and 4,620,510

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Solution

The third proportional to 2,123,634 and 4,620,510 is: 10,053,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123,634 : 4,620,510 = 4,620,510 : x
  2. Step 2: Convert to fraction form
    2,123,634/4,620,510 = 4,620,510/x
  3. Step 3: Cross multiply
    2,123,634x = 4,620,510 × 4,620,510
  4. Step 4: Simplify right side
    2,123,634x = 21,349,112,660,100
  5. Step 5: Solve for x
    x = 21,349,112,660,100/2,123,634
  6. Step 6: Final answer
    x = 10,053,103.62

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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.