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Finding the Third Proportional to 789,768 and 1,705,623

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Solution

The third proportional to 789,768 and 1,705,623 is: 3,683,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,768 : 1,705,623 = 1,705,623 : x
  2. Step 2: Convert to fraction form
    789,768/1,705,623 = 1,705,623/x
  3. Step 3: Cross multiply
    789,768x = 1,705,623 × 1,705,623
  4. Step 4: Simplify right side
    789,768x = 2,909,149,818,129
  5. Step 5: Solve for x
    x = 2,909,149,818,129/789,768
  6. Step 6: Final answer
    x = 3,683,549.88

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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.