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Finding the Third Proportional to 644,814 and 1,516,698

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Solution

The third proportional to 644,814 and 1,516,698 is: 3,567,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,814 : 1,516,698 = 1,516,698 : x
  2. Step 2: Convert to fraction form
    644,814/1,516,698 = 1,516,698/x
  3. Step 3: Cross multiply
    644,814x = 1,516,698 × 1,516,698
  4. Step 4: Simplify right side
    644,814x = 2,300,372,823,204
  5. Step 5: Solve for x
    x = 2,300,372,823,204/644,814
  6. Step 6: Final answer
    x = 3,567,498.26

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