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Finding the Third Proportional to 366,870 and 794,806

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Solution

The third proportional to 366,870 and 794,806 is: 1,721,908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,870 : 794,806 = 794,806 : x
  2. Step 2: Convert to fraction form
    366,870/794,806 = 794,806/x
  3. Step 3: Cross multiply
    366,870x = 794,806 × 794,806
  4. Step 4: Simplify right side
    366,870x = 631,716,577,636
  5. Step 5: Solve for x
    x = 631,716,577,636/366,870
  6. Step 6: Final answer
    x = 1,721,908.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.