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Finding the Third Proportional to 591,820 and 837,408

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Solution

The third proportional to 591,820 and 837,408 is: 1,184,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,820 : 837,408 = 837,408 : x
  2. Step 2: Convert to fraction form
    591,820/837,408 = 837,408/x
  3. Step 3: Cross multiply
    591,820x = 837,408 × 837,408
  4. Step 4: Simplify right side
    591,820x = 701,252,158,464
  5. Step 5: Solve for x
    x = 701,252,158,464/591,820
  6. Step 6: Final answer
    x = 1,184,907.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.