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Finding the Third Proportional to 746,238 and 1,183,542

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Solution

The third proportional to 746,238 and 1,183,542 is: 1,877,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,238 : 1,183,542 = 1,183,542 : x
  2. Step 2: Convert to fraction form
    746,238/1,183,542 = 1,183,542/x
  3. Step 3: Cross multiply
    746,238x = 1,183,542 × 1,183,542
  4. Step 4: Simplify right side
    746,238x = 1,400,771,665,764
  5. Step 5: Solve for x
    x = 1,400,771,665,764/746,238
  6. Step 6: Final answer
    x = 1,877,111.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.