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Finding the Third Proportional to 1,861,788 and 2,894,724

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Solution

The third proportional to 1,861,788 and 2,894,724 is: 4,500,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861,788 : 2,894,724 = 2,894,724 : x
  2. Step 2: Convert to fraction form
    1,861,788/2,894,724 = 2,894,724/x
  3. Step 3: Cross multiply
    1,861,788x = 2,894,724 × 2,894,724
  4. Step 4: Simplify right side
    1,861,788x = 8,379,427,036,176
  5. Step 5: Solve for x
    x = 8,379,427,036,176/1,861,788
  6. Step 6: Final answer
    x = 4,500,741.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.