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Finding the Third Proportional to 611,877 and 1,325,430

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Solution

The third proportional to 611,877 and 1,325,430 is: 2,871,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,877 : 1,325,430 = 1,325,430 : x
  2. Step 2: Convert to fraction form
    611,877/1,325,430 = 1,325,430/x
  3. Step 3: Cross multiply
    611,877x = 1,325,430 × 1,325,430
  4. Step 4: Simplify right side
    611,877x = 1,756,764,684,900
  5. Step 5: Solve for x
    x = 1,756,764,684,900/611,877
  6. Step 6: Final answer
    x = 2,871,107.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.