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Finding the Third Proportional to 961,710 and 2,052,138

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Solution

The third proportional to 961,710 and 2,052,138 is: 4,378,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,710 : 2,052,138 = 2,052,138 : x
  2. Step 2: Convert to fraction form
    961,710/2,052,138 = 2,052,138/x
  3. Step 3: Cross multiply
    961,710x = 2,052,138 × 2,052,138
  4. Step 4: Simplify right side
    961,710x = 4,211,270,371,044
  5. Step 5: Solve for x
    x = 4,211,270,371,044/961,710
  6. Step 6: Final answer
    x = 4,378,939.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.