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Finding the Third Proportional to 1,268,940 and 2,746,968

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Solution

The third proportional to 1,268,940 and 2,746,968 is: 5,946,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,940 : 2,746,968 = 2,746,968 : x
  2. Step 2: Convert to fraction form
    1,268,940/2,746,968 = 2,746,968/x
  3. Step 3: Cross multiply
    1,268,940x = 2,746,968 × 2,746,968
  4. Step 4: Simplify right side
    1,268,940x = 7,545,833,193,024
  5. Step 5: Solve for x
    x = 7,545,833,193,024/1,268,940
  6. Step 6: Final answer
    x = 5,946,564.21

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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.