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Finding the Third Proportional to 387,997 and 837,158

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Solution

The third proportional to 387,997 and 837,158 is: 1,806,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,997 : 837,158 = 837,158 : x
  2. Step 2: Convert to fraction form
    387,997/837,158 = 837,158/x
  3. Step 3: Cross multiply
    387,997x = 837,158 × 837,158
  4. Step 4: Simplify right side
    387,997x = 700,833,516,964
  5. Step 5: Solve for x
    x = 700,833,516,964/387,997
  6. Step 6: Final answer
    x = 1,806,285.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.