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Finding the Third Proportional to 1,407,448 and 3,014,176

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Solution

The third proportional to 1,407,448 and 3,014,176 is: 6,455,127.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,448 : 3,014,176 = 3,014,176 : x
  2. Step 2: Convert to fraction form
    1,407,448/3,014,176 = 3,014,176/x
  3. Step 3: Cross multiply
    1,407,448x = 3,014,176 × 3,014,176
  4. Step 4: Simplify right side
    1,407,448x = 9,085,256,958,976
  5. Step 5: Solve for x
    x = 9,085,256,958,976/1,407,448
  6. Step 6: Final answer
    x = 6,455,127.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.