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Finding the Third Proportional to 482,733 and 1,041,345

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Solution

The third proportional to 482,733 and 1,041,345 is: 2,246,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,733 : 1,041,345 = 1,041,345 : x
  2. Step 2: Convert to fraction form
    482,733/1,041,345 = 1,041,345/x
  3. Step 3: Cross multiply
    482,733x = 1,041,345 × 1,041,345
  4. Step 4: Simplify right side
    482,733x = 1,084,399,409,025
  5. Step 5: Solve for x
    x = 1,084,399,409,025/482,733
  6. Step 6: Final answer
    x = 2,246,375.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.