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Finding the Third Proportional to 2,674,093.50 and 4,142,421

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Solution

The third proportional to 2,674,093.50 and 4,142,421 is: 6,416,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674,093.50 : 4,142,421 = 4,142,421 : x
  2. Step 2: Convert to fraction form
    2,674,093.50/4,142,421 = 4,142,421/x
  3. Step 3: Cross multiply
    2,674,093.50x = 4,142,421 × 4,142,421
  4. Step 4: Simplify right side
    2,674,093.50x = 17,159,651,741,241
  5. Step 5: Solve for x
    x = 17,159,651,741,241/2,674,093.50
  6. Step 6: Final answer
    x = 6,416,997.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.