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Finding the Third Proportional to 282,051 and 619,911

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Solution

The third proportional to 282,051 and 619,911 is: 1,362,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,051 : 619,911 = 619,911 : x
  2. Step 2: Convert to fraction form
    282,051/619,911 = 619,911/x
  3. Step 3: Cross multiply
    282,051x = 619,911 × 619,911
  4. Step 4: Simplify right side
    282,051x = 384,289,647,921
  5. Step 5: Solve for x
    x = 384,289,647,921/282,051
  6. Step 6: Final answer
    x = 1,362,482.84

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Why These Related Problems?

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