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Finding the Third Proportional to 4,089,314 and 6,191,283

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Solution

The third proportional to 4,089,314 and 6,191,283 is: 9,373,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089,314 : 6,191,283 = 6,191,283 : x
  2. Step 2: Convert to fraction form
    4,089,314/6,191,283 = 6,191,283/x
  3. Step 3: Cross multiply
    4,089,314x = 6,191,283 × 6,191,283
  4. Step 4: Simplify right side
    4,089,314x = 38,331,985,186,089
  5. Step 5: Solve for x
    x = 38,331,985,186,089/4,089,314
  6. Step 6: Final answer
    x = 9,373,695.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.