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Finding the Third Proportional to 785,767 and 1,696,742

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Solution

The third proportional to 785,767 and 1,696,742 is: 3,663,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,767 : 1,696,742 = 1,696,742 : x
  2. Step 2: Convert to fraction form
    785,767/1,696,742 = 1,696,742/x
  3. Step 3: Cross multiply
    785,767x = 1,696,742 × 1,696,742
  4. Step 4: Simplify right side
    785,767x = 2,878,933,414,564
  5. Step 5: Solve for x
    x = 2,878,933,414,564/785,767
  6. Step 6: Final answer
    x = 3,663,851.26

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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.