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Finding the Third Proportional to 976,326 and 1,511,599.50

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Solution

The third proportional to 976,326 and 1,511,599.50 is: 2,340,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,326 : 1,511,599.50 = 1,511,599.50 : x
  2. Step 2: Convert to fraction form
    976,326/1,511,599.50 = 1,511,599.50/x
  3. Step 3: Cross multiply
    976,326x = 1,511,599.50 × 1,511,599.50
  4. Step 4: Simplify right side
    976,326x = 2,284,933,048,400.25
  5. Step 5: Solve for x
    x = 2,284,933,048,400.25/976,326
  6. Step 6: Final answer
    x = 2,340,338.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.