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Finding the Third Proportional to 809,844 and 1,772,217

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Solution

The third proportional to 809,844 and 1,772,217 is: 3,878,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,844 : 1,772,217 = 1,772,217 : x
  2. Step 2: Convert to fraction form
    809,844/1,772,217 = 1,772,217/x
  3. Step 3: Cross multiply
    809,844x = 1,772,217 × 1,772,217
  4. Step 4: Simplify right side
    809,844x = 3,140,753,095,089
  5. Step 5: Solve for x
    x = 3,140,753,095,089/809,844
  6. Step 6: Final answer
    x = 3,878,219.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.