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Finding the Third Proportional to 4,273,470 and 6,608,196

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Solution

The third proportional to 4,273,470 and 6,608,196 is: 10,218,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273,470 : 6,608,196 = 6,608,196 : x
  2. Step 2: Convert to fraction form
    4,273,470/6,608,196 = 6,608,196/x
  3. Step 3: Cross multiply
    4,273,470x = 6,608,196 × 6,608,196
  4. Step 4: Simplify right side
    4,273,470x = 43,668,254,374,416
  5. Step 5: Solve for x
    x = 43,668,254,374,416/4,273,470
  6. Step 6: Final answer
    x = 10,218,453.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.