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Finding the Third Proportional to 784,098 and 1,104,204

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Solution

The third proportional to 784,098 and 1,104,204 is: 1,554,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,098 : 1,104,204 = 1,104,204 : x
  2. Step 2: Convert to fraction form
    784,098/1,104,204 = 1,104,204/x
  3. Step 3: Cross multiply
    784,098x = 1,104,204 × 1,104,204
  4. Step 4: Simplify right side
    784,098x = 1,219,266,473,616
  5. Step 5: Solve for x
    x = 1,219,266,473,616/784,098
  6. Step 6: Final answer
    x = 1,554,992.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.