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Finding the Third Proportional to 2,141,649 and 3,316,153

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Solution

The third proportional to 2,141,649 and 3,316,153 is: 5,134,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,649 : 3,316,153 = 3,316,153 : x
  2. Step 2: Convert to fraction form
    2,141,649/3,316,153 = 3,316,153/x
  3. Step 3: Cross multiply
    2,141,649x = 3,316,153 × 3,316,153
  4. Step 4: Simplify right side
    2,141,649x = 10,996,870,719,409
  5. Step 5: Solve for x
    x = 10,996,870,719,409/2,141,649
  6. Step 6: Final answer
    x = 5,134,767.98

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