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Finding the Third Proportional to 478,305 and 1,049,911.88

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Solution

The third proportional to 478,305 and 1,049,911.88 is: 2,304,627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,305 : 1,049,911.88 = 1,049,911.88 : x
  2. Step 2: Convert to fraction form
    478,305/1,049,911.88 = 1,049,911.88/x
  3. Step 3: Cross multiply
    478,305x = 1,049,911.88 × 1,049,911.88
  4. Step 4: Simplify right side
    478,305x = 1,102,314,945,266.02
  5. Step 5: Solve for x
    x = 1,102,314,945,266.02/478,305
  6. Step 6: Final answer
    x = 2,304,627.69

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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.