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Finding the Third Proportional to 471,028 and 1,031,630

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Solution

The third proportional to 471,028 and 1,031,630 is: 2,259,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,028 : 1,031,630 = 1,031,630 : x
  2. Step 2: Convert to fraction form
    471,028/1,031,630 = 1,031,630/x
  3. Step 3: Cross multiply
    471,028x = 1,031,630 × 1,031,630
  4. Step 4: Simplify right side
    471,028x = 1,064,260,456,900
  5. Step 5: Solve for x
    x = 1,064,260,456,900/471,028
  6. Step 6: Final answer
    x = 2,259,442.02

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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.