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Finding the Third Proportional to 2,294,840 and 4,862,238

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Solution

The third proportional to 2,294,840 and 4,862,238 is: 10,301,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294,840 : 4,862,238 = 4,862,238 : x
  2. Step 2: Convert to fraction form
    2,294,840/4,862,238 = 4,862,238/x
  3. Step 3: Cross multiply
    2,294,840x = 4,862,238 × 4,862,238
  4. Step 4: Simplify right side
    2,294,840x = 23,641,358,368,644
  5. Step 5: Solve for x
    x = 23,641,358,368,644/2,294,840
  6. Step 6: Final answer
    x = 10,301,963.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.