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Finding the Third Proportional to 1,509,907 and 2,286,838

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Solution

The third proportional to 1,509,907 and 2,286,838 is: 3,463,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,907 : 2,286,838 = 2,286,838 : x
  2. Step 2: Convert to fraction form
    1,509,907/2,286,838 = 2,286,838/x
  3. Step 3: Cross multiply
    1,509,907x = 2,286,838 × 2,286,838
  4. Step 4: Simplify right side
    1,509,907x = 5,229,628,038,244
  5. Step 5: Solve for x
    x = 5,229,628,038,244/1,509,907
  6. Step 6: Final answer
    x = 3,463,543.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.