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Finding the Third Proportional to 619,222 and 872,010

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Solution

The third proportional to 619,222 and 872,010 is: 1,227,994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,222 : 872,010 = 872,010 : x
  2. Step 2: Convert to fraction form
    619,222/872,010 = 872,010/x
  3. Step 3: Cross multiply
    619,222x = 872,010 × 872,010
  4. Step 4: Simplify right side
    619,222x = 760,401,440,100
  5. Step 5: Solve for x
    x = 760,401,440,100/619,222
  6. Step 6: Final answer
    x = 1,227,994.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.