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Finding the Third Proportional to 834,522 and 1,133,615

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Solution

The third proportional to 834,522 and 1,133,615 is: 1,539,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,522 : 1,133,615 = 1,133,615 : x
  2. Step 2: Convert to fraction form
    834,522/1,133,615 = 1,133,615/x
  3. Step 3: Cross multiply
    834,522x = 1,133,615 × 1,133,615
  4. Step 4: Simplify right side
    834,522x = 1,285,082,968,225
  5. Step 5: Solve for x
    x = 1,285,082,968,225/834,522
  6. Step 6: Final answer
    x = 1,539,903.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.