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Finding the Third Proportional to 1,464,201 and 3,153,176

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Solution

The third proportional to 1,464,201 and 3,153,176 is: 6,790,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,201 : 3,153,176 = 3,153,176 : x
  2. Step 2: Convert to fraction form
    1,464,201/3,153,176 = 3,153,176/x
  3. Step 3: Cross multiply
    1,464,201x = 3,153,176 × 3,153,176
  4. Step 4: Simplify right side
    1,464,201x = 9,942,518,886,976
  5. Step 5: Solve for x
    x = 9,942,518,886,976/1,464,201
  6. Step 6: Final answer
    x = 6,790,405.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.