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Finding the Third Proportional to 559,832 and 1,208,072

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Solution

The third proportional to 559,832 and 1,208,072 is: 2,606,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,832 : 1,208,072 = 1,208,072 : x
  2. Step 2: Convert to fraction form
    559,832/1,208,072 = 1,208,072/x
  3. Step 3: Cross multiply
    559,832x = 1,208,072 × 1,208,072
  4. Step 4: Simplify right side
    559,832x = 1,459,437,957,184
  5. Step 5: Solve for x
    x = 1,459,437,957,184/559,832
  6. Step 6: Final answer
    x = 2,606,921.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.