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Finding the Third Proportional to 539,379 and 1,162,823.34

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Solution

The third proportional to 539,379 and 1,162,823.34 is: 2,506,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,379 : 1,162,823.34 = 1,162,823.34 : x
  2. Step 2: Convert to fraction form
    539,379/1,162,823.34 = 1,162,823.34/x
  3. Step 3: Cross multiply
    539,379x = 1,162,823.34 × 1,162,823.34
  4. Step 4: Simplify right side
    539,379x = 1,352,158,128,769.93
  5. Step 5: Solve for x
    x = 1,352,158,128,769.93/539,379
  6. Step 6: Final answer
    x = 2,506,879.45

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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.