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Finding the Third Proportional to 822,384 and 1,312,296

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Solution

The third proportional to 822,384 and 1,312,296 is: 2,094,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,384 : 1,312,296 = 1,312,296 : x
  2. Step 2: Convert to fraction form
    822,384/1,312,296 = 1,312,296/x
  3. Step 3: Cross multiply
    822,384x = 1,312,296 × 1,312,296
  4. Step 4: Simplify right side
    822,384x = 1,722,120,791,616
  5. Step 5: Solve for x
    x = 1,722,120,791,616/822,384
  6. Step 6: Final answer
    x = 2,094,059.21

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.