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Finding the Third Proportional to 945,712 and 2,052,176

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Solution

The third proportional to 945,712 and 2,052,176 is: 4,453,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,712 : 2,052,176 = 2,052,176 : x
  2. Step 2: Convert to fraction form
    945,712/2,052,176 = 2,052,176/x
  3. Step 3: Cross multiply
    945,712x = 2,052,176 × 2,052,176
  4. Step 4: Simplify right side
    945,712x = 4,211,426,334,976
  5. Step 5: Solve for x
    x = 4,211,426,334,976/945,712
  6. Step 6: Final answer
    x = 4,453,180.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.