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Finding the Third Proportional to 499,120 and 1,082,312

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Solution

The third proportional to 499,120 and 1,082,312 is: 2,346,929.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,120 : 1,082,312 = 1,082,312 : x
  2. Step 2: Convert to fraction form
    499,120/1,082,312 = 1,082,312/x
  3. Step 3: Cross multiply
    499,120x = 1,082,312 × 1,082,312
  4. Step 4: Simplify right side
    499,120x = 1,171,399,265,344
  5. Step 5: Solve for x
    x = 1,171,399,265,344/499,120
  6. Step 6: Final answer
    x = 2,346,929.13

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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.