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Finding the Third Proportional to 709,208 and 1,061,312

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Solution

The third proportional to 709,208 and 1,061,312 is: 1,588,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,208 : 1,061,312 = 1,061,312 : x
  2. Step 2: Convert to fraction form
    709,208/1,061,312 = 1,061,312/x
  3. Step 3: Cross multiply
    709,208x = 1,061,312 × 1,061,312
  4. Step 4: Simplify right side
    709,208x = 1,126,383,161,344
  5. Step 5: Solve for x
    x = 1,126,383,161,344/709,208
  6. Step 6: Final answer
    x = 1,588,226.81

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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.