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Finding the Third Proportional to 478,314 and 1,049,930

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Solution

The third proportional to 478,314 and 1,049,930 is: 2,304,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,314 : 1,049,930 = 1,049,930 : x
  2. Step 2: Convert to fraction form
    478,314/1,049,930 = 1,049,930/x
  3. Step 3: Cross multiply
    478,314x = 1,049,930 × 1,049,930
  4. Step 4: Simplify right side
    478,314x = 1,102,353,004,900
  5. Step 5: Solve for x
    x = 1,102,353,004,900/478,314
  6. Step 6: Final answer
    x = 2,304,663.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.