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Finding the Third Proportional to 827,698 and 1,265,613

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Solution

The third proportional to 827,698 and 1,265,613 is: 1,935,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,698 : 1,265,613 = 1,265,613 : x
  2. Step 2: Convert to fraction form
    827,698/1,265,613 = 1,265,613/x
  3. Step 3: Cross multiply
    827,698x = 1,265,613 × 1,265,613
  4. Step 4: Simplify right side
    827,698x = 1,601,776,265,769
  5. Step 5: Solve for x
    x = 1,601,776,265,769/827,698
  6. Step 6: Final answer
    x = 1,935,218.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.