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Finding the Third Proportional to 677,684 and 903,454

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Solution

The third proportional to 677,684 and 903,454 is: 1,204,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,684 : 903,454 = 903,454 : x
  2. Step 2: Convert to fraction form
    677,684/903,454 = 903,454/x
  3. Step 3: Cross multiply
    677,684x = 903,454 × 903,454
  4. Step 4: Simplify right side
    677,684x = 816,229,130,116
  5. Step 5: Solve for x
    x = 816,229,130,116/677,684
  6. Step 6: Final answer
    x = 1,204,439.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.