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Finding the Third Proportional to 902,148.89 and 1,192,478.84

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Solution

The third proportional to 902,148.89 and 1,192,478.84 is: 1,576,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,148.89 : 1,192,478.84 = 1,192,478.84 : x
  2. Step 2: Convert to fraction form
    902,148.89/1,192,478.84 = 1,192,478.84/x
  3. Step 3: Cross multiply
    902,148.89x = 1,192,478.84 × 1,192,478.84
  4. Step 4: Simplify right side
    902,148.89x = 1,422,005,774,158.86
  5. Step 5: Solve for x
    x = 1,422,005,774,158.86/902,148.89
  6. Step 6: Final answer
    x = 1,576,242.89

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.