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Finding the Third Proportional to 796,944 and 1,719,828

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Solution

The third proportional to 796,944 and 1,719,828 is: 3,711,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,944 : 1,719,828 = 1,719,828 : x
  2. Step 2: Convert to fraction form
    796,944/1,719,828 = 1,719,828/x
  3. Step 3: Cross multiply
    796,944x = 1,719,828 × 1,719,828
  4. Step 4: Simplify right side
    796,944x = 2,957,808,349,584
  5. Step 5: Solve for x
    x = 2,957,808,349,584/796,944
  6. Step 6: Final answer
    x = 3,711,438.13

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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.