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Finding the Third Proportional to 644,922 and 1,377,810

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Solution

The third proportional to 644,922 and 1,377,810 is: 2,943,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,922 : 1,377,810 = 1,377,810 : x
  2. Step 2: Convert to fraction form
    644,922/1,377,810 = 1,377,810/x
  3. Step 3: Cross multiply
    644,922x = 1,377,810 × 1,377,810
  4. Step 4: Simplify right side
    644,922x = 1,898,360,396,100
  5. Step 5: Solve for x
    x = 1,898,360,396,100/644,922
  6. Step 6: Final answer
    x = 2,943,550.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.