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Finding the Third Proportional to 2,774,928 and 6,021,564

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Solution

The third proportional to 2,774,928 and 6,021,564 is: 13,066,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774,928 : 6,021,564 = 6,021,564 : x
  2. Step 2: Convert to fraction form
    2,774,928/6,021,564 = 6,021,564/x
  3. Step 3: Cross multiply
    2,774,928x = 6,021,564 × 6,021,564
  4. Step 4: Simplify right side
    2,774,928x = 36,259,233,006,096
  5. Step 5: Solve for x
    x = 36,259,233,006,096/2,774,928
  6. Step 6: Final answer
    x = 13,066,729.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.