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Finding the Third Proportional to 4,201,280 and 6,300,512

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Solution

The third proportional to 4,201,280 and 6,300,512 is: 9,448,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201,280 : 6,300,512 = 6,300,512 : x
  2. Step 2: Convert to fraction form
    4,201,280/6,300,512 = 6,300,512/x
  3. Step 3: Cross multiply
    4,201,280x = 6,300,512 × 6,300,512
  4. Step 4: Simplify right side
    4,201,280x = 39,696,451,462,144
  5. Step 5: Solve for x
    x = 39,696,451,462,144/4,201,280
  6. Step 6: Final answer
    x = 9,448,656.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.