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Finding the Third Proportional to 520,706 and 1,055,896

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Solution

The third proportional to 520,706 and 1,055,896 is: 2,141,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,706 : 1,055,896 = 1,055,896 : x
  2. Step 2: Convert to fraction form
    520,706/1,055,896 = 1,055,896/x
  3. Step 3: Cross multiply
    520,706x = 1,055,896 × 1,055,896
  4. Step 4: Simplify right side
    520,706x = 1,114,916,362,816
  5. Step 5: Solve for x
    x = 1,114,916,362,816/520,706
  6. Step 6: Final answer
    x = 2,141,162.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.