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Finding the Third Proportional to 2,077,125.75 and 4,319,370

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Solution

The third proportional to 2,077,125.75 and 4,319,370 is: 8,982,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,125.75 : 4,319,370 = 4,319,370 : x
  2. Step 2: Convert to fraction form
    2,077,125.75/4,319,370 = 4,319,370/x
  3. Step 3: Cross multiply
    2,077,125.75x = 4,319,370 × 4,319,370
  4. Step 4: Simplify right side
    2,077,125.75x = 18,656,957,196,900
  5. Step 5: Solve for x
    x = 18,656,957,196,900/2,077,125.75
  6. Step 6: Final answer
    x = 8,982,102.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.