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Finding the Third Proportional to 686,040 and 1,603,320

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Solution

The third proportional to 686,040 and 1,603,320 is: 3,747,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,040 : 1,603,320 = 1,603,320 : x
  2. Step 2: Convert to fraction form
    686,040/1,603,320 = 1,603,320/x
  3. Step 3: Cross multiply
    686,040x = 1,603,320 × 1,603,320
  4. Step 4: Simplify right side
    686,040x = 2,570,635,022,400
  5. Step 5: Solve for x
    x = 2,570,635,022,400/686,040
  6. Step 6: Final answer
    x = 3,747,062.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.