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Finding the Third Proportional to 945,900 and 1,428,669

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Solution

The third proportional to 945,900 and 1,428,669 is: 2,157,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,900 : 1,428,669 = 1,428,669 : x
  2. Step 2: Convert to fraction form
    945,900/1,428,669 = 1,428,669/x
  3. Step 3: Cross multiply
    945,900x = 1,428,669 × 1,428,669
  4. Step 4: Simplify right side
    945,900x = 2,041,095,111,561
  5. Step 5: Solve for x
    x = 2,041,095,111,561/945,900
  6. Step 6: Final answer
    x = 2,157,833.93

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