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Finding the Third Proportional to 824,575 and 1,773,805

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Solution

The third proportional to 824,575 and 1,773,805 is: 3,815,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,575 : 1,773,805 = 1,773,805 : x
  2. Step 2: Convert to fraction form
    824,575/1,773,805 = 1,773,805/x
  3. Step 3: Cross multiply
    824,575x = 1,773,805 × 1,773,805
  4. Step 4: Simplify right side
    824,575x = 3,146,384,178,025
  5. Step 5: Solve for x
    x = 3,146,384,178,025/824,575
  6. Step 6: Final answer
    x = 3,815,764.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.