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Finding the Third Proportional to 471,124 and 1,031,967

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Solution

The third proportional to 471,124 and 1,031,967 is: 2,260,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,124 : 1,031,967 = 1,031,967 : x
  2. Step 2: Convert to fraction form
    471,124/1,031,967 = 1,031,967/x
  3. Step 3: Cross multiply
    471,124x = 1,031,967 × 1,031,967
  4. Step 4: Simplify right side
    471,124x = 1,064,955,889,089
  5. Step 5: Solve for x
    x = 1,064,955,889,089/471,124
  6. Step 6: Final answer
    x = 2,260,457.73

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