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Finding the Third Proportional to 914,064 and 1,968,448

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Solution

The third proportional to 914,064 and 1,968,448 is: 4,239,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,064 : 1,968,448 = 1,968,448 : x
  2. Step 2: Convert to fraction form
    914,064/1,968,448 = 1,968,448/x
  3. Step 3: Cross multiply
    914,064x = 1,968,448 × 1,968,448
  4. Step 4: Simplify right side
    914,064x = 3,874,787,528,704
  5. Step 5: Solve for x
    x = 3,874,787,528,704/914,064
  6. Step 6: Final answer
    x = 4,239,076.84

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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.