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Finding the Third Proportional to 471,817 and 1,009,757

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Solution

The third proportional to 471,817 and 1,009,757 is: 2,161,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,817 : 1,009,757 = 1,009,757 : x
  2. Step 2: Convert to fraction form
    471,817/1,009,757 = 1,009,757/x
  3. Step 3: Cross multiply
    471,817x = 1,009,757 × 1,009,757
  4. Step 4: Simplify right side
    471,817x = 1,019,609,199,049
  5. Step 5: Solve for x
    x = 1,019,609,199,049/471,817
  6. Step 6: Final answer
    x = 2,161,026.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.