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Finding the Third Proportional to 1,355,474 and 2,823,313

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Solution

The third proportional to 1,355,474 and 2,823,313 is: 5,880,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,474 : 2,823,313 = 2,823,313 : x
  2. Step 2: Convert to fraction form
    1,355,474/2,823,313 = 2,823,313/x
  3. Step 3: Cross multiply
    1,355,474x = 2,823,313 × 2,823,313
  4. Step 4: Simplify right side
    1,355,474x = 7,971,096,295,969
  5. Step 5: Solve for x
    x = 7,971,096,295,969/1,355,474
  6. Step 6: Final answer
    x = 5,880,670.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.