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Finding the Third Proportional to 1,662,909.75 and 3,582,009

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Solution

The third proportional to 1,662,909.75 and 3,582,009 is: 7,715,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662,909.75 : 3,582,009 = 3,582,009 : x
  2. Step 2: Convert to fraction form
    1,662,909.75/3,582,009 = 3,582,009/x
  3. Step 3: Cross multiply
    1,662,909.75x = 3,582,009 × 3,582,009
  4. Step 4: Simplify right side
    1,662,909.75x = 12,830,788,476,081
  5. Step 5: Solve for x
    x = 12,830,788,476,081/1,662,909.75
  6. Step 6: Final answer
    x = 7,715,865.80

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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.