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Finding the Third Proportional to 4,674,180 and 6,992,592

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Solution

The third proportional to 4,674,180 and 6,992,592 is: 10,460,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,180 : 6,992,592 = 6,992,592 : x
  2. Step 2: Convert to fraction form
    4,674,180/6,992,592 = 6,992,592/x
  3. Step 3: Cross multiply
    4,674,180x = 6,992,592 × 6,992,592
  4. Step 4: Simplify right side
    4,674,180x = 48,896,342,878,464
  5. Step 5: Solve for x
    x = 48,896,342,878,464/4,674,180
  6. Step 6: Final answer
    x = 10,460,945.64

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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.