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Finding the Third Proportional to 784,881 and 1,695,195

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Solution

The third proportional to 784,881 and 1,695,195 is: 3,661,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,881 : 1,695,195 = 1,695,195 : x
  2. Step 2: Convert to fraction form
    784,881/1,695,195 = 1,695,195/x
  3. Step 3: Cross multiply
    784,881x = 1,695,195 × 1,695,195
  4. Step 4: Simplify right side
    784,881x = 2,873,686,088,025
  5. Step 5: Solve for x
    x = 2,873,686,088,025/784,881
  6. Step 6: Final answer
    x = 3,661,301.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.