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Finding the Third Proportional to 2,170,746 and 3,191,082.75

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Solution

The third proportional to 2,170,746 and 3,191,082.75 is: 4,691,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,746 : 3,191,082.75 = 3,191,082.75 : x
  2. Step 2: Convert to fraction form
    2,170,746/3,191,082.75 = 3,191,082.75/x
  3. Step 3: Cross multiply
    2,170,746x = 3,191,082.75 × 3,191,082.75
  4. Step 4: Simplify right side
    2,170,746x = 10,183,009,117,347.56
  5. Step 5: Solve for x
    x = 10,183,009,117,347.56/2,170,746
  6. Step 6: Final answer
    x = 4,691,018.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.