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Finding the Third Proportional to 676,944.84 and 1,440,822.94

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Solution

The third proportional to 676,944.84 and 1,440,822.94 is: 3,066,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,944.84 : 1,440,822.94 = 1,440,822.94 : x
  2. Step 2: Convert to fraction form
    676,944.84/1,440,822.94 = 1,440,822.94/x
  3. Step 3: Cross multiply
    676,944.84x = 1,440,822.94 × 1,440,822.94
  4. Step 4: Simplify right side
    676,944.84x = 2,075,970,737,226.13
  5. Step 5: Solve for x
    x = 2,075,970,737,226.13/676,944.84
  6. Step 6: Final answer
    x = 3,066,676.34

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.