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Finding the Third Proportional to 387,826 and 837,911

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Solution

The third proportional to 387,826 and 837,911 is: 1,810,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,826 : 837,911 = 837,911 : x
  2. Step 2: Convert to fraction form
    387,826/837,911 = 837,911/x
  3. Step 3: Cross multiply
    387,826x = 837,911 × 837,911
  4. Step 4: Simplify right side
    387,826x = 702,094,843,921
  5. Step 5: Solve for x
    x = 702,094,843,921/387,826
  6. Step 6: Final answer
    x = 1,810,334.64

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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.