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Finding the Third Proportional to 467,995 and 1,010,717

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Solution

The third proportional to 467,995 and 1,010,717 is: 2,182,820.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,995 : 1,010,717 = 1,010,717 : x
  2. Step 2: Convert to fraction form
    467,995/1,010,717 = 1,010,717/x
  3. Step 3: Cross multiply
    467,995x = 1,010,717 × 1,010,717
  4. Step 4: Simplify right side
    467,995x = 1,021,548,854,089
  5. Step 5: Solve for x
    x = 1,021,548,854,089/467,995
  6. Step 6: Final answer
    x = 2,182,820.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.