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Finding the Third Proportional to 1,114,728 and 1,708,064

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Solution

The third proportional to 1,114,728 and 1,708,064 is: 2,617,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,728 : 1,708,064 = 1,708,064 : x
  2. Step 2: Convert to fraction form
    1,114,728/1,708,064 = 1,708,064/x
  3. Step 3: Cross multiply
    1,114,728x = 1,708,064 × 1,708,064
  4. Step 4: Simplify right side
    1,114,728x = 2,917,482,628,096
  5. Step 5: Solve for x
    x = 2,917,482,628,096/1,114,728
  6. Step 6: Final answer
    x = 2,617,214.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.