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Finding the Third Proportional to 402,407 and 837,871

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Solution

The third proportional to 402,407 and 837,871 is: 1,744,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,407 : 837,871 = 837,871 : x
  2. Step 2: Convert to fraction form
    402,407/837,871 = 837,871/x
  3. Step 3: Cross multiply
    402,407x = 837,871 × 837,871
  4. Step 4: Simplify right side
    402,407x = 702,027,812,641
  5. Step 5: Solve for x
    x = 702,027,812,641/402,407
  6. Step 6: Final answer
    x = 1,744,571.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.