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Finding the Third Proportional to 537,876 and 1,158,740

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Solution

The third proportional to 537,876 and 1,158,740 is: 2,496,260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,876 : 1,158,740 = 1,158,740 : x
  2. Step 2: Convert to fraction form
    537,876/1,158,740 = 1,158,740/x
  3. Step 3: Cross multiply
    537,876x = 1,158,740 × 1,158,740
  4. Step 4: Simplify right side
    537,876x = 1,342,678,387,600
  5. Step 5: Solve for x
    x = 1,342,678,387,600/537,876
  6. Step 6: Final answer
    x = 2,496,260.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.