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Finding the Third Proportional to 777,010.22 and 1,681,701.75

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Solution

The third proportional to 777,010.22 and 1,681,701.75 is: 3,639,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,010.22 : 1,681,701.75 = 1,681,701.75 : x
  2. Step 2: Convert to fraction form
    777,010.22/1,681,701.75 = 1,681,701.75/x
  3. Step 3: Cross multiply
    777,010.22x = 1,681,701.75 × 1,681,701.75
  4. Step 4: Simplify right side
    777,010.22x = 2,828,120,775,953.06
  5. Step 5: Solve for x
    x = 2,828,120,775,953.06/777,010.22
  6. Step 6: Final answer
    x = 3,639,747.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.