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Finding the Third Proportional to 2,096,064 and 3,154,590

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Solution

The third proportional to 2,096,064 and 3,154,590 is: 4,747,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,064 : 3,154,590 = 3,154,590 : x
  2. Step 2: Convert to fraction form
    2,096,064/3,154,590 = 3,154,590/x
  3. Step 3: Cross multiply
    2,096,064x = 3,154,590 × 3,154,590
  4. Step 4: Simplify right side
    2,096,064x = 9,951,438,068,100
  5. Step 5: Solve for x
    x = 9,951,438,068,100/2,096,064
  6. Step 6: Final answer
    x = 4,747,678.54

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