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Finding the Third Proportional to 483,778 and 1,031,717

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Solution

The third proportional to 483,778 and 1,031,717 is: 2,200,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,778 : 1,031,717 = 1,031,717 : x
  2. Step 2: Convert to fraction form
    483,778/1,031,717 = 1,031,717/x
  3. Step 3: Cross multiply
    483,778x = 1,031,717 × 1,031,717
  4. Step 4: Simplify right side
    483,778x = 1,064,439,968,089
  5. Step 5: Solve for x
    x = 1,064,439,968,089/483,778
  6. Step 6: Final answer
    x = 2,200,265.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.