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Finding the Third Proportional to 1,159,296 and 2,472,661.50

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Solution

The third proportional to 1,159,296 and 2,472,661.50 is: 5,273,937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,296 : 2,472,661.50 = 2,472,661.50 : x
  2. Step 2: Convert to fraction form
    1,159,296/2,472,661.50 = 2,472,661.50/x
  3. Step 3: Cross multiply
    1,159,296x = 2,472,661.50 × 2,472,661.50
  4. Step 4: Simplify right side
    1,159,296x = 6,114,054,893,582.25
  5. Step 5: Solve for x
    x = 6,114,054,893,582.25/1,159,296
  6. Step 6: Final answer
    x = 5,273,937.71

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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.