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Finding the Third Proportional to 902,458.69 and 1,353,881.81

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Solution

The third proportional to 902,458.69 and 1,353,881.81 is: 2,031,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,458.69 : 1,353,881.81 = 1,353,881.81 : x
  2. Step 2: Convert to fraction form
    902,458.69/1,353,881.81 = 1,353,881.81/x
  3. Step 3: Cross multiply
    902,458.69x = 1,353,881.81 × 1,353,881.81
  4. Step 4: Simplify right side
    902,458.69x = 1,832,995,962,218.29
  5. Step 5: Solve for x
    x = 1,832,995,962,218.29/902,458.69
  6. Step 6: Final answer
    x = 2,031,113.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.