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Finding the Third Proportional to 4,072,449 and 5,984,013

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Solution

The third proportional to 4,072,449 and 5,984,013 is: 8,792,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072,449 : 5,984,013 = 5,984,013 : x
  2. Step 2: Convert to fraction form
    4,072,449/5,984,013 = 5,984,013/x
  3. Step 3: Cross multiply
    4,072,449x = 5,984,013 × 5,984,013
  4. Step 4: Simplify right side
    4,072,449x = 35,808,411,584,169
  5. Step 5: Solve for x
    x = 35,808,411,584,169/4,072,449
  6. Step 6: Final answer
    x = 8,792,844.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.