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Finding the Third Proportional to 814,850 and 1,917,477

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Solution

The third proportional to 814,850 and 1,917,477 is: 4,512,140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,850 : 1,917,477 = 1,917,477 : x
  2. Step 2: Convert to fraction form
    814,850/1,917,477 = 1,917,477/x
  3. Step 3: Cross multiply
    814,850x = 1,917,477 × 1,917,477
  4. Step 4: Simplify right side
    814,850x = 3,676,718,045,529
  5. Step 5: Solve for x
    x = 3,676,718,045,529/814,850
  6. Step 6: Final answer
    x = 4,512,140.94

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.