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Finding the Third Proportional to 520,870 and 1,115,468

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Solution

The third proportional to 520,870 and 1,115,468 is: 2,388,828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,870 : 1,115,468 = 1,115,468 : x
  2. Step 2: Convert to fraction form
    520,870/1,115,468 = 1,115,468/x
  3. Step 3: Cross multiply
    520,870x = 1,115,468 × 1,115,468
  4. Step 4: Simplify right side
    520,870x = 1,244,268,859,024
  5. Step 5: Solve for x
    x = 1,244,268,859,024/520,870
  6. Step 6: Final answer
    x = 2,388,828.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.