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Finding the Third Proportional to 605,502.84 and 822,687.89

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Solution

The third proportional to 605,502.84 and 822,687.89 is: 1,117,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,502.84 : 822,687.89 = 822,687.89 : x
  2. Step 2: Convert to fraction form
    605,502.84/822,687.89 = 822,687.89/x
  3. Step 3: Cross multiply
    605,502.84x = 822,687.89 × 822,687.89
  4. Step 4: Simplify right side
    605,502.84x = 676,815,365,381.01
  5. Step 5: Solve for x
    x = 676,815,365,381.01/605,502.84
  6. Step 6: Final answer
    x = 1,117,774.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.