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Finding the Third Proportional to 282,026 and 619,870

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Solution

The third proportional to 282,026 and 619,870 is: 1,362,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,026 : 619,870 = 619,870 : x
  2. Step 2: Convert to fraction form
    282,026/619,870 = 619,870/x
  3. Step 3: Cross multiply
    282,026x = 619,870 × 619,870
  4. Step 4: Simplify right side
    282,026x = 384,238,816,900
  5. Step 5: Solve for x
    x = 384,238,816,900/282,026
  6. Step 6: Final answer
    x = 1,362,423.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.