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Finding the Third Proportional to 809,623 and 1,776,710

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Solution

The third proportional to 809,623 and 1,776,710 is: 3,898,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,623 : 1,776,710 = 1,776,710 : x
  2. Step 2: Convert to fraction form
    809,623/1,776,710 = 1,776,710/x
  3. Step 3: Cross multiply
    809,623x = 1,776,710 × 1,776,710
  4. Step 4: Simplify right side
    809,623x = 3,156,698,424,100
  5. Step 5: Solve for x
    x = 3,156,698,424,100/809,623
  6. Step 6: Final answer
    x = 3,898,973.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.