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Finding the Third Proportional to 820,143 and 1,104,071

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Solution

The third proportional to 820,143 and 1,104,071 is: 1,486,292.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,143 : 1,104,071 = 1,104,071 : x
  2. Step 2: Convert to fraction form
    820,143/1,104,071 = 1,104,071/x
  3. Step 3: Cross multiply
    820,143x = 1,104,071 × 1,104,071
  4. Step 4: Simplify right side
    820,143x = 1,218,972,773,041
  5. Step 5: Solve for x
    x = 1,218,972,773,041/820,143
  6. Step 6: Final answer
    x = 1,486,292.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.