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Finding the Third Proportional to 1,335,966 and 2,911,704

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Solution

The third proportional to 1,335,966 and 2,911,704 is: 6,345,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,966 : 2,911,704 = 2,911,704 : x
  2. Step 2: Convert to fraction form
    1,335,966/2,911,704 = 2,911,704/x
  3. Step 3: Cross multiply
    1,335,966x = 2,911,704 × 2,911,704
  4. Step 4: Simplify right side
    1,335,966x = 8,478,020,183,616
  5. Step 5: Solve for x
    x = 8,478,020,183,616/1,335,966
  6. Step 6: Final answer
    x = 6,345,984.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.