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Finding the Third Proportional to 785,434 and 1,209,042

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Solution

The third proportional to 785,434 and 1,209,042 is: 1,861,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,434 : 1,209,042 = 1,209,042 : x
  2. Step 2: Convert to fraction form
    785,434/1,209,042 = 1,209,042/x
  3. Step 3: Cross multiply
    785,434x = 1,209,042 × 1,209,042
  4. Step 4: Simplify right side
    785,434x = 1,461,782,557,764
  5. Step 5: Solve for x
    x = 1,461,782,557,764/785,434
  6. Step 6: Final answer
    x = 1,861,114.44

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.