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Finding the Third Proportional to 1,744,497 and 3,696,168

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Solution

The third proportional to 1,744,497 and 3,696,168 is: 7,831,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,497 : 3,696,168 = 3,696,168 : x
  2. Step 2: Convert to fraction form
    1,744,497/3,696,168 = 3,696,168/x
  3. Step 3: Cross multiply
    1,744,497x = 3,696,168 × 3,696,168
  4. Step 4: Simplify right side
    1,744,497x = 13,661,657,884,224
  5. Step 5: Solve for x
    x = 13,661,657,884,224/1,744,497
  6. Step 6: Final answer
    x = 7,831,287.69

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