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Finding the Third Proportional to 1,051,728 and 2,302,470

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Solution

The third proportional to 1,051,728 and 2,302,470 is: 5,040,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,728 : 2,302,470 = 2,302,470 : x
  2. Step 2: Convert to fraction form
    1,051,728/2,302,470 = 2,302,470/x
  3. Step 3: Cross multiply
    1,051,728x = 2,302,470 × 2,302,470
  4. Step 4: Simplify right side
    1,051,728x = 5,301,368,100,900
  5. Step 5: Solve for x
    x = 5,301,368,100,900/1,051,728
  6. Step 6: Final answer
    x = 5,040,626.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.