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Finding the Third Proportional to 961,821 and 1,500,969

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Solution

The third proportional to 961,821 and 1,500,969 is: 2,342,335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,821 : 1,500,969 = 1,500,969 : x
  2. Step 2: Convert to fraction form
    961,821/1,500,969 = 1,500,969/x
  3. Step 3: Cross multiply
    961,821x = 1,500,969 × 1,500,969
  4. Step 4: Simplify right side
    961,821x = 2,252,907,938,961
  5. Step 5: Solve for x
    x = 2,252,907,938,961/961,821
  6. Step 6: Final answer
    x = 2,342,335.98

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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.