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Finding the Third Proportional to 1,764,393 and 3,827,457

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Solution

The third proportional to 1,764,393 and 3,827,457 is: 8,302,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764,393 : 3,827,457 = 3,827,457 : x
  2. Step 2: Convert to fraction form
    1,764,393/3,827,457 = 3,827,457/x
  3. Step 3: Cross multiply
    1,764,393x = 3,827,457 × 3,827,457
  4. Step 4: Simplify right side
    1,764,393x = 14,649,427,086,849
  5. Step 5: Solve for x
    x = 14,649,427,086,849/1,764,393
  6. Step 6: Final answer
    x = 8,302,814.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.