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Finding the Third Proportional to 607,717 and 884,921

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Solution

The third proportional to 607,717 and 884,921 is: 1,288,568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,717 : 884,921 = 884,921 : x
  2. Step 2: Convert to fraction form
    607,717/884,921 = 884,921/x
  3. Step 3: Cross multiply
    607,717x = 884,921 × 884,921
  4. Step 4: Simplify right side
    607,717x = 783,085,176,241
  5. Step 5: Solve for x
    x = 783,085,176,241/607,717
  6. Step 6: Final answer
    x = 1,288,568.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.