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Finding the Third Proportional to 983,286 and 1,483,920

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Solution

The third proportional to 983,286 and 1,483,920 is: 2,239,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,286 : 1,483,920 = 1,483,920 : x
  2. Step 2: Convert to fraction form
    983,286/1,483,920 = 1,483,920/x
  3. Step 3: Cross multiply
    983,286x = 1,483,920 × 1,483,920
  4. Step 4: Simplify right side
    983,286x = 2,202,018,566,400
  5. Step 5: Solve for x
    x = 2,202,018,566,400/983,286
  6. Step 6: Final answer
    x = 2,239,448.71

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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.