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Finding the Third Proportional to 841,617 and 1,793,177

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Solution

The third proportional to 841,617 and 1,793,177 is: 3,820,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,617 : 1,793,177 = 1,793,177 : x
  2. Step 2: Convert to fraction form
    841,617/1,793,177 = 1,793,177/x
  3. Step 3: Cross multiply
    841,617x = 1,793,177 × 1,793,177
  4. Step 4: Simplify right side
    841,617x = 3,215,483,753,329
  5. Step 5: Solve for x
    x = 3,215,483,753,329/841,617
  6. Step 6: Final answer
    x = 3,820,602.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.