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Finding the Third Proportional to 395,014 and 837,090

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Solution

The third proportional to 395,014 and 837,090 is: 1,773,910.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,014 : 837,090 = 837,090 : x
  2. Step 2: Convert to fraction form
    395,014/837,090 = 837,090/x
  3. Step 3: Cross multiply
    395,014x = 837,090 × 837,090
  4. Step 4: Simplify right side
    395,014x = 700,719,668,100
  5. Step 5: Solve for x
    x = 700,719,668,100/395,014
  6. Step 6: Final answer
    x = 1,773,910.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.