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Finding the Third Proportional to 587,955 and 1,288,011

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Solution

The third proportional to 587,955 and 1,288,011 is: 2,821,597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,955 : 1,288,011 = 1,288,011 : x
  2. Step 2: Convert to fraction form
    587,955/1,288,011 = 1,288,011/x
  3. Step 3: Cross multiply
    587,955x = 1,288,011 × 1,288,011
  4. Step 4: Simplify right side
    587,955x = 1,658,972,336,121
  5. Step 5: Solve for x
    x = 1,658,972,336,121/587,955
  6. Step 6: Final answer
    x = 2,821,597.46

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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.