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Finding the Third Proportional to 985,171 and 2,122,319

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Solution

The third proportional to 985,171 and 2,122,319 is: 4,572,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,171 : 2,122,319 = 2,122,319 : x
  2. Step 2: Convert to fraction form
    985,171/2,122,319 = 2,122,319/x
  3. Step 3: Cross multiply
    985,171x = 2,122,319 × 2,122,319
  4. Step 4: Simplify right side
    985,171x = 4,504,237,937,761
  5. Step 5: Solve for x
    x = 4,504,237,937,761/985,171
  6. Step 6: Final answer
    x = 4,572,036.67

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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.