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Finding the Third Proportional to 837,084 and 1,330,355

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Solution

The third proportional to 837,084 and 1,330,355 is: 2,114,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,084 : 1,330,355 = 1,330,355 : x
  2. Step 2: Convert to fraction form
    837,084/1,330,355 = 1,330,355/x
  3. Step 3: Cross multiply
    837,084x = 1,330,355 × 1,330,355
  4. Step 4: Simplify right side
    837,084x = 1,769,844,426,025
  5. Step 5: Solve for x
    x = 1,769,844,426,025/837,084
  6. Step 6: Final answer
    x = 2,114,297.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.