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Finding the Third Proportional to 725,380 and 1,088,702

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Solution

The third proportional to 725,380 and 1,088,702 is: 1,634,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,380 : 1,088,702 = 1,088,702 : x
  2. Step 2: Convert to fraction form
    725,380/1,088,702 = 1,088,702/x
  3. Step 3: Cross multiply
    725,380x = 1,088,702 × 1,088,702
  4. Step 4: Simplify right side
    725,380x = 1,185,272,044,804
  5. Step 5: Solve for x
    x = 1,185,272,044,804/725,380
  6. Step 6: Final answer
    x = 1,634,001.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.