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Finding the Third Proportional to 448,632 and 963,036

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Solution

The third proportional to 448,632 and 963,036 is: 2,067,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,632 : 963,036 = 963,036 : x
  2. Step 2: Convert to fraction form
    448,632/963,036 = 963,036/x
  3. Step 3: Cross multiply
    448,632x = 963,036 × 963,036
  4. Step 4: Simplify right side
    448,632x = 927,438,337,296
  5. Step 5: Solve for x
    x = 927,438,337,296/448,632
  6. Step 6: Final answer
    x = 2,067,258.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.