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Finding the Third Proportional to 495,928 and 1,070,568

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Solution

The third proportional to 495,928 and 1,070,568 is: 2,311,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,928 : 1,070,568 = 1,070,568 : x
  2. Step 2: Convert to fraction form
    495,928/1,070,568 = 1,070,568/x
  3. Step 3: Cross multiply
    495,928x = 1,070,568 × 1,070,568
  4. Step 4: Simplify right side
    495,928x = 1,146,115,842,624
  5. Step 5: Solve for x
    x = 1,146,115,842,624/495,928
  6. Step 6: Final answer
    x = 2,311,052.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.