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Finding the Third Proportional to 790,470 and 1,183,542

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Solution

The third proportional to 790,470 and 1,183,542 is: 1,772,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,470 : 1,183,542 = 1,183,542 : x
  2. Step 2: Convert to fraction form
    790,470/1,183,542 = 1,183,542/x
  3. Step 3: Cross multiply
    790,470x = 1,183,542 × 1,183,542
  4. Step 4: Simplify right side
    790,470x = 1,400,771,665,764
  5. Step 5: Solve for x
    x = 1,400,771,665,764/790,470
  6. Step 6: Final answer
    x = 1,772,074.42

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Why These Related Problems?

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