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Finding the Third Proportional to 507,894 and 1,057,824.38

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Solution

The third proportional to 507,894 and 1,057,824.38 is: 2,203,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,894 : 1,057,824.38 = 1,057,824.38 : x
  2. Step 2: Convert to fraction form
    507,894/1,057,824.38 = 1,057,824.38/x
  3. Step 3: Cross multiply
    507,894x = 1,057,824.38 × 1,057,824.38
  4. Step 4: Simplify right side
    507,894x = 1,118,992,408,344.14
  5. Step 5: Solve for x
    x = 1,118,992,408,344.14/507,894
  6. Step 6: Final answer
    x = 2,203,200.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.