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Finding the Third Proportional to 2,140,543.13 and 4,505,185.41

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Solution

The third proportional to 2,140,543.13 and 4,505,185.41 is: 9,482,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,543.13 : 4,505,185.41 = 4,505,185.41 : x
  2. Step 2: Convert to fraction form
    2,140,543.13/4,505,185.41 = 4,505,185.41/x
  3. Step 3: Cross multiply
    2,140,543.13x = 4,505,185.41 × 4,505,185.41
  4. Step 4: Simplify right side
    2,140,543.13x = 20,296,695,544,687.98
  5. Step 5: Solve for x
    x = 20,296,695,544,687.98/2,140,543.13
  6. Step 6: Final answer
    x = 9,482,030.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.