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Finding the Third Proportional to 4,119,696 and 6,032,064

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Solution

The third proportional to 4,119,696 and 6,032,064 is: 8,832,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119,696 : 6,032,064 = 6,032,064 : x
  2. Step 2: Convert to fraction form
    4,119,696/6,032,064 = 6,032,064/x
  3. Step 3: Cross multiply
    4,119,696x = 6,032,064 × 6,032,064
  4. Step 4: Simplify right side
    4,119,696x = 36,385,796,100,096
  5. Step 5: Solve for x
    x = 36,385,796,100,096/4,119,696
  6. Step 6: Final answer
    x = 8,832,155.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.