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Finding the Third Proportional to 465,616 and 1,016,526

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Solution

The third proportional to 465,616 and 1,016,526 is: 2,219,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,616 : 1,016,526 = 1,016,526 : x
  2. Step 2: Convert to fraction form
    465,616/1,016,526 = 1,016,526/x
  3. Step 3: Cross multiply
    465,616x = 1,016,526 × 1,016,526
  4. Step 4: Simplify right side
    465,616x = 1,033,325,108,676
  5. Step 5: Solve for x
    x = 1,033,325,108,676/465,616
  6. Step 6: Final answer
    x = 2,219,264.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.