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Finding the Third Proportional to 2,365,399 and 3,706,343

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Solution

The third proportional to 2,365,399 and 3,706,343 is: 5,807,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,399 : 3,706,343 = 3,706,343 : x
  2. Step 2: Convert to fraction form
    2,365,399/3,706,343 = 3,706,343/x
  3. Step 3: Cross multiply
    2,365,399x = 3,706,343 × 3,706,343
  4. Step 4: Simplify right side
    2,365,399x = 13,736,978,433,649
  5. Step 5: Solve for x
    x = 13,736,978,433,649/2,365,399
  6. Step 6: Final answer
    x = 5,807,467.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.