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Finding the Third Proportional to 1,821,297 and 3,996,888

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Solution

The third proportional to 1,821,297 and 3,996,888 is: 8,771,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,297 : 3,996,888 = 3,996,888 : x
  2. Step 2: Convert to fraction form
    1,821,297/3,996,888 = 3,996,888/x
  3. Step 3: Cross multiply
    1,821,297x = 3,996,888 × 3,996,888
  4. Step 4: Simplify right side
    1,821,297x = 15,975,113,684,544
  5. Step 5: Solve for x
    x = 15,975,113,684,544/1,821,297
  6. Step 6: Final answer
    x = 8,771,284.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.