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Finding the Third Proportional to 837,072 and 1,330,337

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Solution

The third proportional to 837,072 and 1,330,337 is: 2,114,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,072 : 1,330,337 = 1,330,337 : x
  2. Step 2: Convert to fraction form
    837,072/1,330,337 = 1,330,337/x
  3. Step 3: Cross multiply
    837,072x = 1,330,337 × 1,330,337
  4. Step 4: Simplify right side
    837,072x = 1,769,796,533,569
  5. Step 5: Solve for x
    x = 1,769,796,533,569/837,072
  6. Step 6: Final answer
    x = 2,114,270.38

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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.