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Finding the Third Proportional to 395,030 and 837,121

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Solution

The third proportional to 395,030 and 837,121 is: 1,773,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,030 : 837,121 = 837,121 : x
  2. Step 2: Convert to fraction form
    395,030/837,121 = 837,121/x
  3. Step 3: Cross multiply
    395,030x = 837,121 × 837,121
  4. Step 4: Simplify right side
    395,030x = 700,771,568,641
  5. Step 5: Solve for x
    x = 700,771,568,641/395,030
  6. Step 6: Final answer
    x = 1,773,970.51

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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.