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Finding the Third Proportional to 947,140 and 2,029,064

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Solution

The third proportional to 947,140 and 2,029,064 is: 4,346,876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,140 : 2,029,064 = 2,029,064 : x
  2. Step 2: Convert to fraction form
    947,140/2,029,064 = 2,029,064/x
  3. Step 3: Cross multiply
    947,140x = 2,029,064 × 2,029,064
  4. Step 4: Simplify right side
    947,140x = 4,117,100,716,096
  5. Step 5: Solve for x
    x = 4,117,100,716,096/947,140
  6. Step 6: Final answer
    x = 4,346,876.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.