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Finding the Third Proportional to 2,364,609 and 4,917,921

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Solution

The third proportional to 2,364,609 and 4,917,921 is: 10,228,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364,609 : 4,917,921 = 4,917,921 : x
  2. Step 2: Convert to fraction form
    2,364,609/4,917,921 = 4,917,921/x
  3. Step 3: Cross multiply
    2,364,609x = 4,917,921 × 4,917,921
  4. Step 4: Simplify right side
    2,364,609x = 24,185,946,962,241
  5. Step 5: Solve for x
    x = 24,185,946,962,241/2,364,609
  6. Step 6: Final answer
    x = 10,228,307.07

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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.