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Finding the Third Proportional to 684,066 and 1,484,936

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Solution

The third proportional to 684,066 and 1,484,936 is: 3,223,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,066 : 1,484,936 = 1,484,936 : x
  2. Step 2: Convert to fraction form
    684,066/1,484,936 = 1,484,936/x
  3. Step 3: Cross multiply
    684,066x = 1,484,936 × 1,484,936
  4. Step 4: Simplify right side
    684,066x = 2,205,034,924,096
  5. Step 5: Solve for x
    x = 2,205,034,924,096/684,066
  6. Step 6: Final answer
    x = 3,223,424.24

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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.