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Finding the Third Proportional to 3,174,508 and 4,768,998

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Solution

The third proportional to 3,174,508 and 4,768,998 is: 7,164,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174,508 : 4,768,998 = 4,768,998 : x
  2. Step 2: Convert to fraction form
    3,174,508/4,768,998 = 4,768,998/x
  3. Step 3: Cross multiply
    3,174,508x = 4,768,998 × 4,768,998
  4. Step 4: Simplify right side
    3,174,508x = 22,743,341,924,004
  5. Step 5: Solve for x
    x = 22,743,341,924,004/3,174,508
  6. Step 6: Final answer
    x = 7,164,367.49

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Why These Related Problems?

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