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Finding the Third Proportional to 1,827,984 and 2,919,096

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Solution

The third proportional to 1,827,984 and 2,919,096 is: 4,661,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827,984 : 2,919,096 = 2,919,096 : x
  2. Step 2: Convert to fraction form
    1,827,984/2,919,096 = 2,919,096/x
  3. Step 3: Cross multiply
    1,827,984x = 2,919,096 × 2,919,096
  4. Step 4: Simplify right side
    1,827,984x = 8,521,121,457,216
  5. Step 5: Solve for x
    x = 8,521,121,457,216/1,827,984
  6. Step 6: Final answer
    x = 4,661,485.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.