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Finding the Third Proportional to 1,509,883 and 2,286,803

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Solution

The third proportional to 1,509,883 and 2,286,803 is: 3,463,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,883 : 2,286,803 = 2,286,803 : x
  2. Step 2: Convert to fraction form
    1,509,883/2,286,803 = 2,286,803/x
  3. Step 3: Cross multiply
    1,509,883x = 2,286,803 × 2,286,803
  4. Step 4: Simplify right side
    1,509,883x = 5,229,467,960,809
  5. Step 5: Solve for x
    x = 5,229,467,960,809/1,509,883
  6. Step 6: Final answer
    x = 3,463,492.18

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Why These Related Problems?

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