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Finding the Third Proportional to 946,042 and 1,428,891

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Solution

The third proportional to 946,042 and 1,428,891 is: 2,158,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,042 : 1,428,891 = 1,428,891 : x
  2. Step 2: Convert to fraction form
    946,042/1,428,891 = 1,428,891/x
  3. Step 3: Cross multiply
    946,042x = 1,428,891 × 1,428,891
  4. Step 4: Simplify right side
    946,042x = 2,041,729,489,881
  5. Step 5: Solve for x
    x = 2,041,729,489,881/946,042
  6. Step 6: Final answer
    x = 2,158,180.60

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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.