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Finding the Third Proportional to 4,166,946 and 6,261,515

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Solution

The third proportional to 4,166,946 and 6,261,515 is: 9,408,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166,946 : 6,261,515 = 6,261,515 : x
  2. Step 2: Convert to fraction form
    4,166,946/6,261,515 = 6,261,515/x
  3. Step 3: Cross multiply
    4,166,946x = 6,261,515 × 6,261,515
  4. Step 4: Simplify right side
    4,166,946x = 39,206,570,095,225
  5. Step 5: Solve for x
    x = 39,206,570,095,225/4,166,946
  6. Step 6: Final answer
    x = 9,408,946.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.