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Finding the Third Proportional to 584,577 and 1,256,177

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Solution

The third proportional to 584,577 and 1,256,177 is: 2,699,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,577 : 1,256,177 = 1,256,177 : x
  2. Step 2: Convert to fraction form
    584,577/1,256,177 = 1,256,177/x
  3. Step 3: Cross multiply
    584,577x = 1,256,177 × 1,256,177
  4. Step 4: Simplify right side
    584,577x = 1,577,980,655,329
  5. Step 5: Solve for x
    x = 1,577,980,655,329/584,577
  6. Step 6: Final answer
    x = 2,699,354.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.