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Finding the Third Proportional to 676,938 and 1,486,743.75

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Solution

The third proportional to 676,938 and 1,486,743.75 is: 3,265,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,938 : 1,486,743.75 = 1,486,743.75 : x
  2. Step 2: Convert to fraction form
    676,938/1,486,743.75 = 1,486,743.75/x
  3. Step 3: Cross multiply
    676,938x = 1,486,743.75 × 1,486,743.75
  4. Step 4: Simplify right side
    676,938x = 2,210,406,978,164.06
  5. Step 5: Solve for x
    x = 2,210,406,978,164.06/676,938
  6. Step 6: Final answer
    x = 3,265,301.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.