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Finding the Third Proportional to 822,399 and 1,233,594

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Solution

The third proportional to 822,399 and 1,233,594 is: 1,850,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,399 : 1,233,594 = 1,233,594 : x
  2. Step 2: Convert to fraction form
    822,399/1,233,594 = 1,233,594/x
  3. Step 3: Cross multiply
    822,399x = 1,233,594 × 1,233,594
  4. Step 4: Simplify right side
    822,399x = 1,521,754,156,836
  5. Step 5: Solve for x
    x = 1,521,754,156,836/822,399
  6. Step 6: Final answer
    x = 1,850,384.25

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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.