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Finding the Third Proportional to 587,958 and 1,288,014

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Solution

The third proportional to 587,958 and 1,288,014 is: 2,821,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,958 : 1,288,014 = 1,288,014 : x
  2. Step 2: Convert to fraction form
    587,958/1,288,014 = 1,288,014/x
  3. Step 3: Cross multiply
    587,958x = 1,288,014 × 1,288,014
  4. Step 4: Simplify right side
    587,958x = 1,658,980,064,196
  5. Step 5: Solve for x
    x = 1,658,980,064,196/587,958
  6. Step 6: Final answer
    x = 2,821,596.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.