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Finding the Third Proportional to 587,916 and 859,200

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Solution

The third proportional to 587,916 and 859,200 is: 1,255,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,916 : 859,200 = 859,200 : x
  2. Step 2: Convert to fraction form
    587,916/859,200 = 859,200/x
  3. Step 3: Cross multiply
    587,916x = 859,200 × 859,200
  4. Step 4: Simplify right side
    587,916x = 738,224,640,000
  5. Step 5: Solve for x
    x = 738,224,640,000/587,916
  6. Step 6: Final answer
    x = 1,255,663.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.