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Finding the Third Proportional to 482,329 and 1,047,692

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Solution

The third proportional to 482,329 and 1,047,692 is: 2,275,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,329 : 1,047,692 = 1,047,692 : x
  2. Step 2: Convert to fraction form
    482,329/1,047,692 = 1,047,692/x
  3. Step 3: Cross multiply
    482,329x = 1,047,692 × 1,047,692
  4. Step 4: Simplify right side
    482,329x = 1,097,658,526,864
  5. Step 5: Solve for x
    x = 1,097,658,526,864/482,329
  6. Step 6: Final answer
    x = 2,275,746.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.