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Finding the Third Proportional to 1,642,752 and 2,407,200

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Solution

The third proportional to 1,642,752 and 2,407,200 is: 3,527,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,752 : 2,407,200 = 2,407,200 : x
  2. Step 2: Convert to fraction form
    1,642,752/2,407,200 = 2,407,200/x
  3. Step 3: Cross multiply
    1,642,752x = 2,407,200 × 2,407,200
  4. Step 4: Simplify right side
    1,642,752x = 5,794,611,840,000
  5. Step 5: Solve for x
    x = 5,794,611,840,000/1,642,752
  6. Step 6: Final answer
    x = 3,527,380.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.