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Finding the Third Proportional to 535,948 and 1,116,000

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Solution

The third proportional to 535,948 and 1,116,000 is: 2,323,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,948 : 1,116,000 = 1,116,000 : x
  2. Step 2: Convert to fraction form
    535,948/1,116,000 = 1,116,000/x
  3. Step 3: Cross multiply
    535,948x = 1,116,000 × 1,116,000
  4. Step 4: Simplify right side
    535,948x = 1,245,456,000,000
  5. Step 5: Solve for x
    x = 1,245,456,000,000/535,948
  6. Step 6: Final answer
    x = 2,323,837.39

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.