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Finding the Third Proportional to 2,152,561.50 and 4,567,509

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Solution

The third proportional to 2,152,561.50 and 4,567,509 is: 9,691,773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,561.50 : 4,567,509 = 4,567,509 : x
  2. Step 2: Convert to fraction form
    2,152,561.50/4,567,509 = 4,567,509/x
  3. Step 3: Cross multiply
    2,152,561.50x = 4,567,509 × 4,567,509
  4. Step 4: Simplify right side
    2,152,561.50x = 20,862,138,465,081
  5. Step 5: Solve for x
    x = 20,862,138,465,081/2,152,561.50
  6. Step 6: Final answer
    x = 9,691,773.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.