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Finding the Third Proportional to 1,268,775 and 2,735,595

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Solution

The third proportional to 1,268,775 and 2,735,595 is: 5,898,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,775 : 2,735,595 = 2,735,595 : x
  2. Step 2: Convert to fraction form
    1,268,775/2,735,595 = 2,735,595/x
  3. Step 3: Cross multiply
    1,268,775x = 2,735,595 × 2,735,595
  4. Step 4: Simplify right side
    1,268,775x = 7,483,480,004,025
  5. Step 5: Solve for x
    x = 7,483,480,004,025/1,268,775
  6. Step 6: Final answer
    x = 5,898,193.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.