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Finding the Third Proportional to 644,820 and 1,516,713

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Solution

The third proportional to 644,820 and 1,516,713 is: 3,567,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,820 : 1,516,713 = 1,516,713 : x
  2. Step 2: Convert to fraction form
    644,820/1,516,713 = 1,516,713/x
  3. Step 3: Cross multiply
    644,820x = 1,516,713 × 1,516,713
  4. Step 4: Simplify right side
    644,820x = 2,300,418,324,369
  5. Step 5: Solve for x
    x = 2,300,418,324,369/644,820
  6. Step 6: Final answer
    x = 3,567,535.63

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.