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Finding the Third Proportional to 483,717 and 1,007,133

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Solution

The third proportional to 483,717 and 1,007,133 is: 2,096,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,717 : 1,007,133 = 1,007,133 : x
  2. Step 2: Convert to fraction form
    483,717/1,007,133 = 1,007,133/x
  3. Step 3: Cross multiply
    483,717x = 1,007,133 × 1,007,133
  4. Step 4: Simplify right side
    483,717x = 1,014,316,879,689
  5. Step 5: Solve for x
    x = 1,014,316,879,689/483,717
  6. Step 6: Final answer
    x = 2,096,922.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.