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Finding the Third Proportional to 537,600 and 1,145,856

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Solution

The third proportional to 537,600 and 1,145,856 is: 2,442,310.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,600 : 1,145,856 = 1,145,856 : x
  2. Step 2: Convert to fraction form
    537,600/1,145,856 = 1,145,856/x
  3. Step 3: Cross multiply
    537,600x = 1,145,856 × 1,145,856
  4. Step 4: Simplify right side
    537,600x = 1,312,985,972,736
  5. Step 5: Solve for x
    x = 1,312,985,972,736/537,600
  6. Step 6: Final answer
    x = 2,442,310.22

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.