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Finding the Third Proportional to 520,072 and 1,119,056

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Solution

The third proportional to 520,072 and 1,119,056 is: 2,407,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,072 : 1,119,056 = 1,119,056 : x
  2. Step 2: Convert to fraction form
    520,072/1,119,056 = 1,119,056/x
  3. Step 3: Cross multiply
    520,072x = 1,119,056 × 1,119,056
  4. Step 4: Simplify right side
    520,072x = 1,252,286,331,136
  5. Step 5: Solve for x
    x = 1,252,286,331,136/520,072
  6. Step 6: Final answer
    x = 2,407,909.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.