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Finding the Third Proportional to 603,868 and 1,302,313

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Solution

The third proportional to 603,868 and 1,302,313 is: 2,808,592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,868 : 1,302,313 = 1,302,313 : x
  2. Step 2: Convert to fraction form
    603,868/1,302,313 = 1,302,313/x
  3. Step 3: Cross multiply
    603,868x = 1,302,313 × 1,302,313
  4. Step 4: Simplify right side
    603,868x = 1,696,019,149,969
  5. Step 5: Solve for x
    x = 1,696,019,149,969/603,868
  6. Step 6: Final answer
    x = 2,808,592.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.