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Finding the Third Proportional to 2,431,946 and 3,743,535

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Solution

The third proportional to 2,431,946 and 3,743,535 is: 5,762,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,946 : 3,743,535 = 3,743,535 : x
  2. Step 2: Convert to fraction form
    2,431,946/3,743,535 = 3,743,535/x
  3. Step 3: Cross multiply
    2,431,946x = 3,743,535 × 3,743,535
  4. Step 4: Simplify right side
    2,431,946x = 14,014,054,296,225
  5. Step 5: Solve for x
    x = 14,014,054,296,225/2,431,946
  6. Step 6: Final answer
    x = 5,762,485.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.