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Finding the Third Proportional to 945,044 and 2,021,224

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Solution

The third proportional to 945,044 and 2,021,224 is: 4,322,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,044 : 2,021,224 = 2,021,224 : x
  2. Step 2: Convert to fraction form
    945,044/2,021,224 = 2,021,224/x
  3. Step 3: Cross multiply
    945,044x = 2,021,224 × 2,021,224
  4. Step 4: Simplify right side
    945,044x = 4,085,346,458,176
  5. Step 5: Solve for x
    x = 4,085,346,458,176/945,044
  6. Step 6: Final answer
    x = 4,322,916.67

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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.