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Finding the Third Proportional to 2,909,760 and 6,284,132

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Solution

The third proportional to 2,909,760 and 6,284,132 is: 13,571,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,760 : 6,284,132 = 6,284,132 : x
  2. Step 2: Convert to fraction form
    2,909,760/6,284,132 = 6,284,132/x
  3. Step 3: Cross multiply
    2,909,760x = 6,284,132 × 6,284,132
  4. Step 4: Simplify right side
    2,909,760x = 39,490,314,993,424
  5. Step 5: Solve for x
    x = 39,490,314,993,424/2,909,760
  6. Step 6: Final answer
    x = 13,571,674.29

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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.