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Finding the Third Proportional to 2,695,597.10 and 5,802,230.60

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Solution

The third proportional to 2,695,597.10 and 5,802,230.60 is: 12,489,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695,597.10 : 5,802,230.60 = 5,802,230.60 : x
  2. Step 2: Convert to fraction form
    2,695,597.10/5,802,230.60 = 5,802,230.60/x
  3. Step 3: Cross multiply
    2,695,597.10x = 5,802,230.60 × 5,802,230.60
  4. Step 4: Simplify right side
    2,695,597.10x = 33,665,879,953,708.33
  5. Step 5: Solve for x
    x = 33,665,879,953,708.33/2,695,597.10
  6. Step 6: Final answer
    x = 12,489,210.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.