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Finding the Third Proportional to 632,053 and 1,382,351

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Solution

The third proportional to 632,053 and 1,382,351 is: 3,023,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,053 : 1,382,351 = 1,382,351 : x
  2. Step 2: Convert to fraction form
    632,053/1,382,351 = 1,382,351/x
  3. Step 3: Cross multiply
    632,053x = 1,382,351 × 1,382,351
  4. Step 4: Simplify right side
    632,053x = 1,910,894,287,201
  5. Step 5: Solve for x
    x = 1,910,894,287,201/632,053
  6. Step 6: Final answer
    x = 3,023,313.37

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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.