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Finding the Third Proportional to 839,128.36 and 1,290,548.32

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Solution

The third proportional to 839,128.36 and 1,290,548.32 is: 1,984,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,128.36 : 1,290,548.32 = 1,290,548.32 : x
  2. Step 2: Convert to fraction form
    839,128.36/1,290,548.32 = 1,290,548.32/x
  3. Step 3: Cross multiply
    839,128.36x = 1,290,548.32 × 1,290,548.32
  4. Step 4: Simplify right side
    839,128.36x = 1,665,514,967,061.42
  5. Step 5: Solve for x
    x = 1,665,514,967,061.42/839,128.36
  6. Step 6: Final answer
    x = 1,984,815.49

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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.