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Finding the Third Proportional to 714,530 and 1,111,164

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Solution

The third proportional to 714,530 and 1,111,164 is: 1,727,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,530 : 1,111,164 = 1,111,164 : x
  2. Step 2: Convert to fraction form
    714,530/1,111,164 = 1,111,164/x
  3. Step 3: Cross multiply
    714,530x = 1,111,164 × 1,111,164
  4. Step 4: Simplify right side
    714,530x = 1,234,685,434,896
  5. Step 5: Solve for x
    x = 1,234,685,434,896/714,530
  6. Step 6: Final answer
    x = 1,727,968.64

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.