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Finding the Third Proportional to 2,096,544 and 4,585,659

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Solution

The third proportional to 2,096,544 and 4,585,659 is: 10,029,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,544 : 4,585,659 = 4,585,659 : x
  2. Step 2: Convert to fraction form
    2,096,544/4,585,659 = 4,585,659/x
  3. Step 3: Cross multiply
    2,096,544x = 4,585,659 × 4,585,659
  4. Step 4: Simplify right side
    2,096,544x = 21,028,268,464,281
  5. Step 5: Solve for x
    x = 21,028,268,464,281/2,096,544
  6. Step 6: Final answer
    x = 10,029,967.63

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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.