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Finding the Third Proportional to 2,605,430 and 5,740,942

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Solution

The third proportional to 2,605,430 and 5,740,942 is: 12,649,894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,430 : 5,740,942 = 5,740,942 : x
  2. Step 2: Convert to fraction form
    2,605,430/5,740,942 = 5,740,942/x
  3. Step 3: Cross multiply
    2,605,430x = 5,740,942 × 5,740,942
  4. Step 4: Simplify right side
    2,605,430x = 32,958,415,047,364
  5. Step 5: Solve for x
    x = 32,958,415,047,364/2,605,430
  6. Step 6: Final answer
    x = 12,649,894.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.