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Finding the Third Proportional to 974,993 and 2,174,037

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Solution

The third proportional to 974,993 and 2,174,037 is: 4,847,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,993 : 2,174,037 = 2,174,037 : x
  2. Step 2: Convert to fraction form
    974,993/2,174,037 = 2,174,037/x
  3. Step 3: Cross multiply
    974,993x = 2,174,037 × 2,174,037
  4. Step 4: Simplify right side
    974,993x = 4,726,436,877,369
  5. Step 5: Solve for x
    x = 4,726,436,877,369/974,993
  6. Step 6: Final answer
    x = 4,847,662.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.