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Finding the Third Proportional to 638,088 and 1,401,964

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Solution

The third proportional to 638,088 and 1,401,964 is: 3,080,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,088 : 1,401,964 = 1,401,964 : x
  2. Step 2: Convert to fraction form
    638,088/1,401,964 = 1,401,964/x
  3. Step 3: Cross multiply
    638,088x = 1,401,964 × 1,401,964
  4. Step 4: Simplify right side
    638,088x = 1,965,503,057,296
  5. Step 5: Solve for x
    x = 1,965,503,057,296/638,088
  6. Step 6: Final answer
    x = 3,080,300.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.