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Finding the Third Proportional to 2,894,936 and 6,174,604

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Solution

The third proportional to 2,894,936 and 6,174,604 is: 13,169,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,936 : 6,174,604 = 6,174,604 : x
  2. Step 2: Convert to fraction form
    2,894,936/6,174,604 = 6,174,604/x
  3. Step 3: Cross multiply
    2,894,936x = 6,174,604 × 6,174,604
  4. Step 4: Simplify right side
    2,894,936x = 38,125,734,556,816
  5. Step 5: Solve for x
    x = 38,125,734,556,816/2,894,936
  6. Step 6: Final answer
    x = 13,169,802.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.