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Finding the Third Proportional to 504,424 and 1,107,128

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Solution

The third proportional to 504,424 and 1,107,128 is: 2,429,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,424 : 1,107,128 = 1,107,128 : x
  2. Step 2: Convert to fraction form
    504,424/1,107,128 = 1,107,128/x
  3. Step 3: Cross multiply
    504,424x = 1,107,128 × 1,107,128
  4. Step 4: Simplify right side
    504,424x = 1,225,732,408,384
  5. Step 5: Solve for x
    x = 1,225,732,408,384/504,424
  6. Step 6: Final answer
    x = 2,429,964.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.