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Finding the Third Proportional to 417,792 and 857,706

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Solution

The third proportional to 417,792 and 857,706 is: 1,760,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,792 : 857,706 = 857,706 : x
  2. Step 2: Convert to fraction form
    417,792/857,706 = 857,706/x
  3. Step 3: Cross multiply
    417,792x = 857,706 × 857,706
  4. Step 4: Simplify right side
    417,792x = 735,659,582,436
  5. Step 5: Solve for x
    x = 735,659,582,436/417,792
  6. Step 6: Final answer
    x = 1,760,827.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.