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Finding the Third Proportional to 524,460 and 1,150,008

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Solution

The third proportional to 524,460 and 1,150,008 is: 2,521,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,460 : 1,150,008 = 1,150,008 : x
  2. Step 2: Convert to fraction form
    524,460/1,150,008 = 1,150,008/x
  3. Step 3: Cross multiply
    524,460x = 1,150,008 × 1,150,008
  4. Step 4: Simplify right side
    524,460x = 1,322,518,400,064
  5. Step 5: Solve for x
    x = 1,322,518,400,064/524,460
  6. Step 6: Final answer
    x = 2,521,676.39

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