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Finding the Third Proportional to 932,202 and 1,410,905.25

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Solution

The third proportional to 932,202 and 1,410,905.25 is: 2,135,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,202 : 1,410,905.25 = 1,410,905.25 : x
  2. Step 2: Convert to fraction form
    932,202/1,410,905.25 = 1,410,905.25/x
  3. Step 3: Cross multiply
    932,202x = 1,410,905.25 × 1,410,905.25
  4. Step 4: Simplify right side
    932,202x = 1,990,653,624,477.56
  5. Step 5: Solve for x
    x = 1,990,653,624,477.56/932,202
  6. Step 6: Final answer
    x = 2,135,431.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.