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Finding the Third Proportional to 651,514 and 1,401,524

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Solution

The third proportional to 651,514 and 1,401,524 is: 3,014,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,514 : 1,401,524 = 1,401,524 : x
  2. Step 2: Convert to fraction form
    651,514/1,401,524 = 1,401,524/x
  3. Step 3: Cross multiply
    651,514x = 1,401,524 × 1,401,524
  4. Step 4: Simplify right side
    651,514x = 1,964,269,522,576
  5. Step 5: Solve for x
    x = 1,964,269,522,576/651,514
  6. Step 6: Final answer
    x = 3,014,930.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.