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Finding the Third Proportional to 1,293,120 and 2,807,424

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Solution

The third proportional to 1,293,120 and 2,807,424 is: 6,095,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,120 : 2,807,424 = 2,807,424 : x
  2. Step 2: Convert to fraction form
    1,293,120/2,807,424 = 2,807,424/x
  3. Step 3: Cross multiply
    1,293,120x = 2,807,424 × 2,807,424
  4. Step 4: Simplify right side
    1,293,120x = 7,881,629,515,776
  5. Step 5: Solve for x
    x = 7,881,629,515,776/1,293,120
  6. Step 6: Final answer
    x = 6,095,048.81

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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.