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Finding the Third Proportional to 375,921 and 782,946

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Solution

The third proportional to 375,921 and 782,946 is: 1,630,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,921 : 782,946 = 782,946 : x
  2. Step 2: Convert to fraction form
    375,921/782,946 = 782,946/x
  3. Step 3: Cross multiply
    375,921x = 782,946 × 782,946
  4. Step 4: Simplify right side
    375,921x = 613,004,438,916
  5. Step 5: Solve for x
    x = 613,004,438,916/375,921
  6. Step 6: Final answer
    x = 1,630,673.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.