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Finding the Third Proportional to 765,039 and 1,681,062

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Solution

The third proportional to 765,039 and 1,681,062 is: 3,693,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,039 : 1,681,062 = 1,681,062 : x
  2. Step 2: Convert to fraction form
    765,039/1,681,062 = 1,681,062/x
  3. Step 3: Cross multiply
    765,039x = 1,681,062 × 1,681,062
  4. Step 4: Simplify right side
    765,039x = 2,825,969,447,844
  5. Step 5: Solve for x
    x = 2,825,969,447,844/765,039
  6. Step 6: Final answer
    x = 3,693,889.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.