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Finding the Third Proportional to 536,281 and 1,109,680

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Solution

The third proportional to 536,281 and 1,109,680 is: 2,296,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,281 : 1,109,680 = 1,109,680 : x
  2. Step 2: Convert to fraction form
    536,281/1,109,680 = 1,109,680/x
  3. Step 3: Cross multiply
    536,281x = 1,109,680 × 1,109,680
  4. Step 4: Simplify right side
    536,281x = 1,231,389,702,400
  5. Step 5: Solve for x
    x = 1,231,389,702,400/536,281
  6. Step 6: Final answer
    x = 2,296,165.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.