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Finding the Third Proportional to 520,114 and 1,081,466

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Solution

The third proportional to 520,114 and 1,081,466 is: 2,248,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,114 : 1,081,466 = 1,081,466 : x
  2. Step 2: Convert to fraction form
    520,114/1,081,466 = 1,081,466/x
  3. Step 3: Cross multiply
    520,114x = 1,081,466 × 1,081,466
  4. Step 4: Simplify right side
    520,114x = 1,169,568,709,156
  5. Step 5: Solve for x
    x = 1,169,568,709,156/520,114
  6. Step 6: Final answer
    x = 2,248,677.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.