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Finding the Third Proportional to 1,746,921 and 3,703,794

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Solution

The third proportional to 1,746,921 and 3,703,794 is: 7,852,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,921 : 3,703,794 = 3,703,794 : x
  2. Step 2: Convert to fraction form
    1,746,921/3,703,794 = 3,703,794/x
  3. Step 3: Cross multiply
    1,746,921x = 3,703,794 × 3,703,794
  4. Step 4: Simplify right side
    1,746,921x = 13,718,089,994,436
  5. Step 5: Solve for x
    x = 13,718,089,994,436/1,746,921
  6. Step 6: Final answer
    x = 7,852,724.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.