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Finding the Third Proportional to 4,190,206.50 and 6,407,142.75

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Solution

The third proportional to 4,190,206.50 and 6,407,142.75 is: 9,797,006.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,206.50 : 6,407,142.75 = 6,407,142.75 : x
  2. Step 2: Convert to fraction form
    4,190,206.50/6,407,142.75 = 6,407,142.75/x
  3. Step 3: Cross multiply
    4,190,206.50x = 6,407,142.75 × 6,407,142.75
  4. Step 4: Simplify right side
    4,190,206.50x = 41,051,478,218,877.56
  5. Step 5: Solve for x
    x = 41,051,478,218,877.56/4,190,206.50
  6. Step 6: Final answer
    x = 9,797,006.00

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.