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Finding the Third Proportional to 395,028 and 837,117

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Solution

The third proportional to 395,028 and 837,117 is: 1,773,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,028 : 837,117 = 837,117 : x
  2. Step 2: Convert to fraction form
    395,028/837,117 = 837,117/x
  3. Step 3: Cross multiply
    395,028x = 837,117 × 837,117
  4. Step 4: Simplify right side
    395,028x = 700,764,871,689
  5. Step 5: Solve for x
    x = 700,764,871,689/395,028
  6. Step 6: Final answer
    x = 1,773,962.53

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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.