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Finding the Third Proportional to 790,494 and 1,183,570

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Solution

The third proportional to 790,494 and 1,183,570 is: 1,772,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,494 : 1,183,570 = 1,183,570 : x
  2. Step 2: Convert to fraction form
    790,494/1,183,570 = 1,183,570/x
  3. Step 3: Cross multiply
    790,494x = 1,183,570 × 1,183,570
  4. Step 4: Simplify right side
    790,494x = 1,400,837,944,900
  5. Step 5: Solve for x
    x = 1,400,837,944,900/790,494
  6. Step 6: Final answer
    x = 1,772,104.46

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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.