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Finding the Third Proportional to 504,247 and 1,084,959

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Solution

The third proportional to 504,247 and 1,084,959 is: 2,334,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,247 : 1,084,959 = 1,084,959 : x
  2. Step 2: Convert to fraction form
    504,247/1,084,959 = 1,084,959/x
  3. Step 3: Cross multiply
    504,247x = 1,084,959 × 1,084,959
  4. Step 4: Simplify right side
    504,247x = 1,177,136,031,681
  5. Step 5: Solve for x
    x = 1,177,136,031,681/504,247
  6. Step 6: Final answer
    x = 2,334,443.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.