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Finding the Third Proportional to 713,961.75 and 1,486,971

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Solution

The third proportional to 713,961.75 and 1,486,971 is: 3,096,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,961.75 : 1,486,971 = 1,486,971 : x
  2. Step 2: Convert to fraction form
    713,961.75/1,486,971 = 1,486,971/x
  3. Step 3: Cross multiply
    713,961.75x = 1,486,971 × 1,486,971
  4. Step 4: Simplify right side
    713,961.75x = 2,211,082,754,841
  5. Step 5: Solve for x
    x = 2,211,082,754,841/713,961.75
  6. Step 6: Final answer
    x = 3,096,920.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.