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Finding the Third Proportional to 819,090 and 1,703,574

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Solution

The third proportional to 819,090 and 1,703,574 is: 3,543,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,090 : 1,703,574 = 1,703,574 : x
  2. Step 2: Convert to fraction form
    819,090/1,703,574 = 1,703,574/x
  3. Step 3: Cross multiply
    819,090x = 1,703,574 × 1,703,574
  4. Step 4: Simplify right side
    819,090x = 2,902,164,373,476
  5. Step 5: Solve for x
    x = 2,902,164,373,476/819,090
  6. Step 6: Final answer
    x = 3,543,156.89

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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.