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Finding the Third Proportional to 534,913 and 1,154,089

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Solution

The third proportional to 534,913 and 1,154,089 is: 2,489,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,913 : 1,154,089 = 1,154,089 : x
  2. Step 2: Convert to fraction form
    534,913/1,154,089 = 1,154,089/x
  3. Step 3: Cross multiply
    534,913x = 1,154,089 × 1,154,089
  4. Step 4: Simplify right side
    534,913x = 1,331,921,419,921
  5. Step 5: Solve for x
    x = 1,331,921,419,921/534,913
  6. Step 6: Final answer
    x = 2,489,977.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.