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Finding the Third Proportional to 2,219,422 and 4,849,784

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Solution

The third proportional to 2,219,422 and 4,849,784 is: 10,597,536.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,422 : 4,849,784 = 4,849,784 : x
  2. Step 2: Convert to fraction form
    2,219,422/4,849,784 = 4,849,784/x
  3. Step 3: Cross multiply
    2,219,422x = 4,849,784 × 4,849,784
  4. Step 4: Simplify right side
    2,219,422x = 23,520,404,846,656
  5. Step 5: Solve for x
    x = 23,520,404,846,656/2,219,422
  6. Step 6: Final answer
    x = 10,597,536.14

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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.