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Finding the Third Proportional to 2,099,196 and 3,341,857.50

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Solution

The third proportional to 2,099,196 and 3,341,857.50 is: 5,320,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,196 : 3,341,857.50 = 3,341,857.50 : x
  2. Step 2: Convert to fraction form
    2,099,196/3,341,857.50 = 3,341,857.50/x
  3. Step 3: Cross multiply
    2,099,196x = 3,341,857.50 × 3,341,857.50
  4. Step 4: Simplify right side
    2,099,196x = 11,168,011,550,306.25
  5. Step 5: Solve for x
    x = 11,168,011,550,306.25/2,099,196
  6. Step 6: Final answer
    x = 5,320,137.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.