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Finding the Third Proportional to 1,762,024 and 3,847,696

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Solution

The third proportional to 1,762,024 and 3,847,696 is: 8,402,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,024 : 3,847,696 = 3,847,696 : x
  2. Step 2: Convert to fraction form
    1,762,024/3,847,696 = 3,847,696/x
  3. Step 3: Cross multiply
    1,762,024x = 3,847,696 × 3,847,696
  4. Step 4: Simplify right side
    1,762,024x = 14,804,764,508,416
  5. Step 5: Solve for x
    x = 14,804,764,508,416/1,762,024
  6. Step 6: Final answer
    x = 8,402,135.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.