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Finding the Third Proportional to 458,523.38 and 1,078,885.88

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Solution

The third proportional to 458,523.38 and 1,078,885.88 is: 2,538,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,523.38 : 1,078,885.88 = 1,078,885.88 : x
  2. Step 2: Convert to fraction form
    458,523.38/1,078,885.88 = 1,078,885.88/x
  3. Step 3: Cross multiply
    458,523.38x = 1,078,885.88 × 1,078,885.88
  4. Step 4: Simplify right side
    458,523.38x = 1,163,994,731,274.52
  5. Step 5: Solve for x
    x = 1,163,994,731,274.52/458,523.38
  6. Step 6: Final answer
    x = 2,538,572.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.