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Finding the Third Proportional to 1,446,770 and 3,142,620

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Solution

The third proportional to 1,446,770 and 3,142,620 is: 6,826,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446,770 : 3,142,620 = 3,142,620 : x
  2. Step 2: Convert to fraction form
    1,446,770/3,142,620 = 3,142,620/x
  3. Step 3: Cross multiply
    1,446,770x = 3,142,620 × 3,142,620
  4. Step 4: Simplify right side
    1,446,770x = 9,876,060,464,400
  5. Step 5: Solve for x
    x = 9,876,060,464,400/1,446,770
  6. Step 6: Final answer
    x = 6,826,282.31

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