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Finding the Third Proportional to 463,548 and 956,880

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Solution

The third proportional to 463,548 and 956,880 is: 1,975,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,548 : 956,880 = 956,880 : x
  2. Step 2: Convert to fraction form
    463,548/956,880 = 956,880/x
  3. Step 3: Cross multiply
    463,548x = 956,880 × 956,880
  4. Step 4: Simplify right side
    463,548x = 915,619,334,400
  5. Step 5: Solve for x
    x = 915,619,334,400/463,548
  6. Step 6: Final answer
    x = 1,975,241.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.