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Finding the Third Proportional to 822,884 and 1,234,324

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Solution

The third proportional to 822,884 and 1,234,324 is: 1,851,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,884 : 1,234,324 = 1,234,324 : x
  2. Step 2: Convert to fraction form
    822,884/1,234,324 = 1,234,324/x
  3. Step 3: Cross multiply
    822,884x = 1,234,324 × 1,234,324
  4. Step 4: Simplify right side
    822,884x = 1,523,555,736,976
  5. Step 5: Solve for x
    x = 1,523,555,736,976/822,884
  6. Step 6: Final answer
    x = 1,851,483.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.