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Finding the Third Proportional to 1,601,746 and 2,847,332

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Solution

The third proportional to 1,601,746 and 2,847,332 is: 5,061,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,746 : 2,847,332 = 2,847,332 : x
  2. Step 2: Convert to fraction form
    1,601,746/2,847,332 = 2,847,332/x
  3. Step 3: Cross multiply
    1,601,746x = 2,847,332 × 2,847,332
  4. Step 4: Simplify right side
    1,601,746x = 8,107,299,518,224
  5. Step 5: Solve for x
    x = 8,107,299,518,224/1,601,746
  6. Step 6: Final answer
    x = 5,061,538.79

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.