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Finding the Third Proportional to 1,130,880 and 2,438,907

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Solution

The third proportional to 1,130,880 and 2,438,907 is: 5,259,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130,880 : 2,438,907 = 2,438,907 : x
  2. Step 2: Convert to fraction form
    1,130,880/2,438,907 = 2,438,907/x
  3. Step 3: Cross multiply
    1,130,880x = 2,438,907 × 2,438,907
  4. Step 4: Simplify right side
    1,130,880x = 5,948,267,354,649
  5. Step 5: Solve for x
    x = 5,948,267,354,649/1,130,880
  6. Step 6: Final answer
    x = 5,259,857.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.