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Finding the Third Proportional to 534,922 and 1,154,108

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Solution

The third proportional to 534,922 and 1,154,108 is: 2,490,017.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,922 : 1,154,108 = 1,154,108 : x
  2. Step 2: Convert to fraction form
    534,922/1,154,108 = 1,154,108/x
  3. Step 3: Cross multiply
    534,922x = 1,154,108 × 1,154,108
  4. Step 4: Simplify right side
    534,922x = 1,331,965,275,664
  5. Step 5: Solve for x
    x = 1,331,965,275,664/534,922
  6. Step 6: Final answer
    x = 2,490,017.75

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