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Finding the Third Proportional to 504,460 and 1,055,644

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Solution

The third proportional to 504,460 and 1,055,644 is: 2,209,063.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,460 : 1,055,644 = 1,055,644 : x
  2. Step 2: Convert to fraction form
    504,460/1,055,644 = 1,055,644/x
  3. Step 3: Cross multiply
    504,460x = 1,055,644 × 1,055,644
  4. Step 4: Simplify right side
    504,460x = 1,114,384,254,736
  5. Step 5: Solve for x
    x = 1,114,384,254,736/504,460
  6. Step 6: Final answer
    x = 2,209,063.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.