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Finding the Third Proportional to 644,416 and 1,412,774

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Solution

The third proportional to 644,416 and 1,412,774 is: 3,097,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,416 : 1,412,774 = 1,412,774 : x
  2. Step 2: Convert to fraction form
    644,416/1,412,774 = 1,412,774/x
  3. Step 3: Cross multiply
    644,416x = 1,412,774 × 1,412,774
  4. Step 4: Simplify right side
    644,416x = 1,995,930,375,076
  5. Step 5: Solve for x
    x = 1,995,930,375,076/644,416
  6. Step 6: Final answer
    x = 3,097,270.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.