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Finding the Third Proportional to 1,355,945 and 2,051,413

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Solution

The third proportional to 1,355,945 and 2,051,413 is: 3,103,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,945 : 2,051,413 = 2,051,413 : x
  2. Step 2: Convert to fraction form
    1,355,945/2,051,413 = 2,051,413/x
  3. Step 3: Cross multiply
    1,355,945x = 2,051,413 × 2,051,413
  4. Step 4: Simplify right side
    1,355,945x = 4,208,295,296,569
  5. Step 5: Solve for x
    x = 4,208,295,296,569/1,355,945
  6. Step 6: Final answer
    x = 3,103,588.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.