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Finding the Third Proportional to 814,548 and 1,755,335

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Solution

The third proportional to 814,548 and 1,755,335 is: 3,782,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,548 : 1,755,335 = 1,755,335 : x
  2. Step 2: Convert to fraction form
    814,548/1,755,335 = 1,755,335/x
  3. Step 3: Cross multiply
    814,548x = 1,755,335 × 1,755,335
  4. Step 4: Simplify right side
    814,548x = 3,081,200,962,225
  5. Step 5: Solve for x
    x = 3,081,200,962,225/814,548
  6. Step 6: Final answer
    x = 3,782,712.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.