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Finding the Third Proportional to 2,045,190 and 3,028,413

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Solution

The third proportional to 2,045,190 and 3,028,413 is: 4,484,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045,190 : 3,028,413 = 3,028,413 : x
  2. Step 2: Convert to fraction form
    2,045,190/3,028,413 = 3,028,413/x
  3. Step 3: Cross multiply
    2,045,190x = 3,028,413 × 3,028,413
  4. Step 4: Simplify right side
    2,045,190x = 9,171,285,298,569
  5. Step 5: Solve for x
    x = 9,171,285,298,569/2,045,190
  6. Step 6: Final answer
    x = 4,484,319.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.