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Finding the Third Proportional to 1,140,241 and 2,478,948

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Solution

The third proportional to 1,140,241 and 2,478,948 is: 5,389,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,241 : 2,478,948 = 2,478,948 : x
  2. Step 2: Convert to fraction form
    1,140,241/2,478,948 = 2,478,948/x
  3. Step 3: Cross multiply
    1,140,241x = 2,478,948 × 2,478,948
  4. Step 4: Simplify right side
    1,140,241x = 6,145,183,186,704
  5. Step 5: Solve for x
    x = 6,145,183,186,704/1,140,241
  6. Step 6: Final answer
    x = 5,389,372.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.