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Finding the Third Proportional to 520,312 and 1,054,977

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Solution

The third proportional to 520,312 and 1,054,977 is: 2,139,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,312 : 1,054,977 = 1,054,977 : x
  2. Step 2: Convert to fraction form
    520,312/1,054,977 = 1,054,977/x
  3. Step 3: Cross multiply
    520,312x = 1,054,977 × 1,054,977
  4. Step 4: Simplify right side
    520,312x = 1,112,976,470,529
  5. Step 5: Solve for x
    x = 1,112,976,470,529/520,312
  6. Step 6: Final answer
    x = 2,139,055.93

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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.