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Finding the Third Proportional to 471,126 and 1,031,971

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Solution

The third proportional to 471,126 and 1,031,971 is: 2,260,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,126 : 1,031,971 = 1,031,971 : x
  2. Step 2: Convert to fraction form
    471,126/1,031,971 = 1,031,971/x
  3. Step 3: Cross multiply
    471,126x = 1,031,971 × 1,031,971
  4. Step 4: Simplify right side
    471,126x = 1,064,964,144,841
  5. Step 5: Solve for x
    x = 1,064,964,144,841/471,126
  6. Step 6: Final answer
    x = 2,260,465.66

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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.