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Finding the Third Proportional to 729,281 and 1,103,984

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Solution

The third proportional to 729,281 and 1,103,984 is: 1,671,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,281 : 1,103,984 = 1,103,984 : x
  2. Step 2: Convert to fraction form
    729,281/1,103,984 = 1,103,984/x
  3. Step 3: Cross multiply
    729,281x = 1,103,984 × 1,103,984
  4. Step 4: Simplify right side
    729,281x = 1,218,780,672,256
  5. Step 5: Solve for x
    x = 1,218,780,672,256/729,281
  6. Step 6: Final answer
    x = 1,671,208.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.