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Finding the Third Proportional to 463,298 and 1,015,168

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Solution

The third proportional to 463,298 and 1,015,168 is: 2,224,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,298 : 1,015,168 = 1,015,168 : x
  2. Step 2: Convert to fraction form
    463,298/1,015,168 = 1,015,168/x
  3. Step 3: Cross multiply
    463,298x = 1,015,168 × 1,015,168
  4. Step 4: Simplify right side
    463,298x = 1,030,566,068,224
  5. Step 5: Solve for x
    x = 1,030,566,068,224/463,298
  6. Step 6: Final answer
    x = 2,224,412.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.