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Finding the Third Proportional to 822,582 and 1,244,243

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Solution

The third proportional to 822,582 and 1,244,243 is: 1,882,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,582 : 1,244,243 = 1,244,243 : x
  2. Step 2: Convert to fraction form
    822,582/1,244,243 = 1,244,243/x
  3. Step 3: Cross multiply
    822,582x = 1,244,243 × 1,244,243
  4. Step 4: Simplify right side
    822,582x = 1,548,140,643,049
  5. Step 5: Solve for x
    x = 1,548,140,643,049/822,582
  6. Step 6: Final answer
    x = 1,882,050.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.