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Finding the Third Proportional to 807,653 and 1,762,007

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Solution

The third proportional to 807,653 and 1,762,007 is: 3,844,062.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,653 : 1,762,007 = 1,762,007 : x
  2. Step 2: Convert to fraction form
    807,653/1,762,007 = 1,762,007/x
  3. Step 3: Cross multiply
    807,653x = 1,762,007 × 1,762,007
  4. Step 4: Simplify right side
    807,653x = 3,104,668,668,049
  5. Step 5: Solve for x
    x = 3,104,668,668,049/807,653
  6. Step 6: Final answer
    x = 3,844,062.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.