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Finding the Third Proportional to 591,779 and 837,354

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Solution

The third proportional to 591,779 and 837,354 is: 1,184,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,779 : 837,354 = 837,354 : x
  2. Step 2: Convert to fraction form
    591,779/837,354 = 837,354/x
  3. Step 3: Cross multiply
    591,779x = 837,354 × 837,354
  4. Step 4: Simplify right side
    591,779x = 701,161,721,316
  5. Step 5: Solve for x
    x = 701,161,721,316/591,779
  6. Step 6: Final answer
    x = 1,184,837.11

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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.