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Finding the Third Proportional to 2,457,516 and 3,846,656

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Solution

The third proportional to 2,457,516 and 3,846,656 is: 6,021,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,516 : 3,846,656 = 3,846,656 : x
  2. Step 2: Convert to fraction form
    2,457,516/3,846,656 = 3,846,656/x
  3. Step 3: Cross multiply
    2,457,516x = 3,846,656 × 3,846,656
  4. Step 4: Simplify right side
    2,457,516x = 14,796,762,382,336
  5. Step 5: Solve for x
    x = 14,796,762,382,336/2,457,516
  6. Step 6: Final answer
    x = 6,021,023.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.