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Finding the Third Proportional to 1,643,466 and 3,585,873

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Solution

The third proportional to 1,643,466 and 3,585,873 is: 7,824,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,466 : 3,585,873 = 3,585,873 : x
  2. Step 2: Convert to fraction form
    1,643,466/3,585,873 = 3,585,873/x
  3. Step 3: Cross multiply
    1,643,466x = 3,585,873 × 3,585,873
  4. Step 4: Simplify right side
    1,643,466x = 12,858,485,172,129
  5. Step 5: Solve for x
    x = 12,858,485,172,129/1,643,466
  6. Step 6: Final answer
    x = 7,824,004.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.