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Finding the Third Proportional to 945,045 and 2,021,226

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Solution

The third proportional to 945,045 and 2,021,226 is: 4,322,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,045 : 2,021,226 = 2,021,226 : x
  2. Step 2: Convert to fraction form
    945,045/2,021,226 = 2,021,226/x
  3. Step 3: Cross multiply
    945,045x = 2,021,226 × 2,021,226
  4. Step 4: Simplify right side
    945,045x = 4,085,354,543,076
  5. Step 5: Solve for x
    x = 4,085,354,543,076/945,045
  6. Step 6: Final answer
    x = 4,322,920.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.