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Finding the Third Proportional to 587,173 and 1,127,689

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Solution

The third proportional to 587,173 and 1,127,689 is: 2,165,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,173 : 1,127,689 = 1,127,689 : x
  2. Step 2: Convert to fraction form
    587,173/1,127,689 = 1,127,689/x
  3. Step 3: Cross multiply
    587,173x = 1,127,689 × 1,127,689
  4. Step 4: Simplify right side
    587,173x = 1,271,682,480,721
  5. Step 5: Solve for x
    x = 1,271,682,480,721/587,173
  6. Step 6: Final answer
    x = 2,165,771.38

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.