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Finding the Third Proportional to 837,086 and 1,330,358

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Solution

The third proportional to 837,086 and 1,330,358 is: 2,114,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,086 : 1,330,358 = 1,330,358 : x
  2. Step 2: Convert to fraction form
    837,086/1,330,358 = 1,330,358/x
  3. Step 3: Cross multiply
    837,086x = 1,330,358 × 1,330,358
  4. Step 4: Simplify right side
    837,086x = 1,769,852,408,164
  5. Step 5: Solve for x
    x = 1,769,852,408,164/837,086
  6. Step 6: Final answer
    x = 2,114,301.77

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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.