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Finding the Third Proportional to 411,010 and 644,918

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Solution

The third proportional to 411,010 and 644,918 is: 1,011,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,010 : 644,918 = 644,918 : x
  2. Step 2: Convert to fraction form
    411,010/644,918 = 644,918/x
  3. Step 3: Cross multiply
    411,010x = 644,918 × 644,918
  4. Step 4: Simplify right side
    411,010x = 415,919,226,724
  5. Step 5: Solve for x
    x = 415,919,226,724/411,010
  6. Step 6: Final answer
    x = 1,011,944.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.