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Finding the Third Proportional to 3,142,656 and 6,782,592

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Solution

The third proportional to 3,142,656 and 6,782,592 is: 14,638,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142,656 : 6,782,592 = 6,782,592 : x
  2. Step 2: Convert to fraction form
    3,142,656/6,782,592 = 6,782,592/x
  3. Step 3: Cross multiply
    3,142,656x = 6,782,592 × 6,782,592
  4. Step 4: Simplify right side
    3,142,656x = 46,003,554,238,464
  5. Step 5: Solve for x
    x = 46,003,554,238,464/3,142,656
  6. Step 6: Final answer
    x = 14,638,431.39

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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.