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Finding the Third Proportional to 478,313 and 1,049,927

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Solution

The third proportional to 478,313 and 1,049,927 is: 2,304,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,313 : 1,049,927 = 1,049,927 : x
  2. Step 2: Convert to fraction form
    478,313/1,049,927 = 1,049,927/x
  3. Step 3: Cross multiply
    478,313x = 1,049,927 × 1,049,927
  4. Step 4: Simplify right side
    478,313x = 1,102,346,705,329
  5. Step 5: Solve for x
    x = 1,102,346,705,329/478,313
  6. Step 6: Final answer
    x = 2,304,655.54

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Why These Related Problems?

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