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Finding the Third Proportional to 2,405,748 and 3,179,968

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Solution

The third proportional to 2,405,748 and 3,179,968 is: 4,203,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405,748 : 3,179,968 = 3,179,968 : x
  2. Step 2: Convert to fraction form
    2,405,748/3,179,968 = 3,179,968/x
  3. Step 3: Cross multiply
    2,405,748x = 3,179,968 × 3,179,968
  4. Step 4: Simplify right side
    2,405,748x = 10,112,196,481,024
  5. Step 5: Solve for x
    x = 10,112,196,481,024/2,405,748
  6. Step 6: Final answer
    x = 4,203,348.18

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.