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Finding the Third Proportional to 822,393 and 1,290,384

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Solution

The third proportional to 822,393 and 1,290,384 is: 2,024,689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,393 : 1,290,384 = 1,290,384 : x
  2. Step 2: Convert to fraction form
    822,393/1,290,384 = 1,290,384/x
  3. Step 3: Cross multiply
    822,393x = 1,290,384 × 1,290,384
  4. Step 4: Simplify right side
    822,393x = 1,665,090,867,456
  5. Step 5: Solve for x
    x = 1,665,090,867,456/822,393
  6. Step 6: Final answer
    x = 2,024,689.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.