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Finding the Third Proportional to 1,288,064 and 2,824,960

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Solution

The third proportional to 1,288,064 and 2,824,960 is: 6,195,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,064 : 2,824,960 = 2,824,960 : x
  2. Step 2: Convert to fraction form
    1,288,064/2,824,960 = 2,824,960/x
  3. Step 3: Cross multiply
    1,288,064x = 2,824,960 × 2,824,960
  4. Step 4: Simplify right side
    1,288,064x = 7,980,399,001,600
  5. Step 5: Solve for x
    x = 7,980,399,001,600/1,288,064
  6. Step 6: Final answer
    x = 6,195,654.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.