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Finding the Third Proportional to 597,814 and 1,290,066

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Solution

The third proportional to 597,814 and 1,290,066 is: 2,783,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,814 : 1,290,066 = 1,290,066 : x
  2. Step 2: Convert to fraction form
    597,814/1,290,066 = 1,290,066/x
  3. Step 3: Cross multiply
    597,814x = 1,290,066 × 1,290,066
  4. Step 4: Simplify right side
    597,814x = 1,664,270,284,356
  5. Step 5: Solve for x
    x = 1,664,270,284,356/597,814
  6. Step 6: Final answer
    x = 2,783,926.58

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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.