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Finding the Third Proportional to 822,144 and 1,793,684

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Solution

The third proportional to 822,144 and 1,793,684 is: 3,913,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,144 : 1,793,684 = 1,793,684 : x
  2. Step 2: Convert to fraction form
    822,144/1,793,684 = 1,793,684/x
  3. Step 3: Cross multiply
    822,144x = 1,793,684 × 1,793,684
  4. Step 4: Simplify right side
    822,144x = 3,217,302,291,856
  5. Step 5: Solve for x
    x = 3,217,302,291,856/822,144
  6. Step 6: Final answer
    x = 3,913,307.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.