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Finding the Third Proportional to 613,942 and 1,291,506

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Solution

The third proportional to 613,942 and 1,291,506 is: 2,716,849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,942 : 1,291,506 = 1,291,506 : x
  2. Step 2: Convert to fraction form
    613,942/1,291,506 = 1,291,506/x
  3. Step 3: Cross multiply
    613,942x = 1,291,506 × 1,291,506
  4. Step 4: Simplify right side
    613,942x = 1,667,987,748,036
  5. Step 5: Solve for x
    x = 1,667,987,748,036/613,942
  6. Step 6: Final answer
    x = 2,716,849.06

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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.