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Finding the Third Proportional to 827,668 and 1,773,448

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Solution

The third proportional to 827,668 and 1,773,448 is: 3,799,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,668 : 1,773,448 = 1,773,448 : x
  2. Step 2: Convert to fraction form
    827,668/1,773,448 = 1,773,448/x
  3. Step 3: Cross multiply
    827,668x = 1,773,448 × 1,773,448
  4. Step 4: Simplify right side
    827,668x = 3,145,117,808,704
  5. Step 5: Solve for x
    x = 3,145,117,808,704/827,668
  6. Step 6: Final answer
    x = 3,799,975.12

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.