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Finding the Third Proportional to 774,957 and 1,642,101

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Solution

The third proportional to 774,957 and 1,642,101 is: 3,479,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,957 : 1,642,101 = 1,642,101 : x
  2. Step 2: Convert to fraction form
    774,957/1,642,101 = 1,642,101/x
  3. Step 3: Cross multiply
    774,957x = 1,642,101 × 1,642,101
  4. Step 4: Simplify right side
    774,957x = 2,696,495,694,201
  5. Step 5: Solve for x
    x = 2,696,495,694,201/774,957
  6. Step 6: Final answer
    x = 3,479,542.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.