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Finding the Third Proportional to 2,936,064 and 6,224,960

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Solution

The third proportional to 2,936,064 and 6,224,960 is: 13,197,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936,064 : 6,224,960 = 6,224,960 : x
  2. Step 2: Convert to fraction form
    2,936,064/6,224,960 = 6,224,960/x
  3. Step 3: Cross multiply
    2,936,064x = 6,224,960 × 6,224,960
  4. Step 4: Simplify right side
    2,936,064x = 38,750,127,001,600
  5. Step 5: Solve for x
    x = 38,750,127,001,600/2,936,064
  6. Step 6: Final answer
    x = 13,197,984.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.