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Finding the Third Proportional to 819,094 and 1,703,582

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Solution

The third proportional to 819,094 and 1,703,582 is: 3,543,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,094 : 1,703,582 = 1,703,582 : x
  2. Step 2: Convert to fraction form
    819,094/1,703,582 = 1,703,582/x
  3. Step 3: Cross multiply
    819,094x = 1,703,582 × 1,703,582
  4. Step 4: Simplify right side
    819,094x = 2,902,191,630,724
  5. Step 5: Solve for x
    x = 2,902,191,630,724/819,094
  6. Step 6: Final answer
    x = 3,543,172.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.