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Finding the Third Proportional to 729,430 and 1,171,992

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Solution

The third proportional to 729,430 and 1,171,992 is: 1,883,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,430 : 1,171,992 = 1,171,992 : x
  2. Step 2: Convert to fraction form
    729,430/1,171,992 = 1,171,992/x
  3. Step 3: Cross multiply
    729,430x = 1,171,992 × 1,171,992
  4. Step 4: Simplify right side
    729,430x = 1,373,565,248,064
  5. Step 5: Solve for x
    x = 1,373,565,248,064/729,430
  6. Step 6: Final answer
    x = 1,883,066.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.