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Finding the Third Proportional to 772,620 and 1,673,943

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Solution

The third proportional to 772,620 and 1,673,943 is: 3,626,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,620 : 1,673,943 = 1,673,943 : x
  2. Step 2: Convert to fraction form
    772,620/1,673,943 = 1,673,943/x
  3. Step 3: Cross multiply
    772,620x = 1,673,943 × 1,673,943
  4. Step 4: Simplify right side
    772,620x = 2,802,085,167,249
  5. Step 5: Solve for x
    x = 2,802,085,167,249/772,620
  6. Step 6: Final answer
    x = 3,626,731.34

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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.