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Finding the Third Proportional to 791,713 and 1,707,841

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Solution

The third proportional to 791,713 and 1,707,841 is: 3,684,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,713 : 1,707,841 = 1,707,841 : x
  2. Step 2: Convert to fraction form
    791,713/1,707,841 = 1,707,841/x
  3. Step 3: Cross multiply
    791,713x = 1,707,841 × 1,707,841
  4. Step 4: Simplify right side
    791,713x = 2,916,720,881,281
  5. Step 5: Solve for x
    x = 2,916,720,881,281/791,713
  6. Step 6: Final answer
    x = 3,684,063.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.