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Finding the Third Proportional to 644,764 and 1,341,859

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Solution

The third proportional to 644,764 and 1,341,859 is: 2,792,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,764 : 1,341,859 = 1,341,859 : x
  2. Step 2: Convert to fraction form
    644,764/1,341,859 = 1,341,859/x
  3. Step 3: Cross multiply
    644,764x = 1,341,859 × 1,341,859
  4. Step 4: Simplify right side
    644,764x = 1,800,585,575,881
  5. Step 5: Solve for x
    x = 1,800,585,575,881/644,764
  6. Step 6: Final answer
    x = 2,792,627.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.