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Finding the Third Proportional to 947,530 and 1,406,863

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Solution

The third proportional to 947,530 and 1,406,863 is: 2,088,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,530 : 1,406,863 = 1,406,863 : x
  2. Step 2: Convert to fraction form
    947,530/1,406,863 = 1,406,863/x
  3. Step 3: Cross multiply
    947,530x = 1,406,863 × 1,406,863
  4. Step 4: Simplify right side
    947,530x = 1,979,263,500,769
  5. Step 5: Solve for x
    x = 1,979,263,500,769/947,530
  6. Step 6: Final answer
    x = 2,088,866.32

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.