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Finding the Third Proportional to 2,932,900 and 4,294,356

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Solution

The third proportional to 2,932,900 and 4,294,356 is: 6,287,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932,900 : 4,294,356 = 4,294,356 : x
  2. Step 2: Convert to fraction form
    2,932,900/4,294,356 = 4,294,356/x
  3. Step 3: Cross multiply
    2,932,900x = 4,294,356 × 4,294,356
  4. Step 4: Simplify right side
    2,932,900x = 18,441,493,454,736
  5. Step 5: Solve for x
    x = 18,441,493,454,736/2,932,900
  6. Step 6: Final answer
    x = 6,287,801.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.