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Finding the Third Proportional to 1,966,400 and 2,967,648

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Solution

The third proportional to 1,966,400 and 2,967,648 is: 4,478,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,400 : 2,967,648 = 2,967,648 : x
  2. Step 2: Convert to fraction form
    1,966,400/2,967,648 = 2,967,648/x
  3. Step 3: Cross multiply
    1,966,400x = 2,967,648 × 2,967,648
  4. Step 4: Simplify right side
    1,966,400x = 8,806,934,651,904
  5. Step 5: Solve for x
    x = 8,806,934,651,904/1,966,400
  6. Step 6: Final answer
    x = 4,478,709.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.