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Finding the Third Proportional to 804,416 and 1,687,168

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Solution

The third proportional to 804,416 and 1,687,168 is: 3,538,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,416 : 1,687,168 = 1,687,168 : x
  2. Step 2: Convert to fraction form
    804,416/1,687,168 = 1,687,168/x
  3. Step 3: Cross multiply
    804,416x = 1,687,168 × 1,687,168
  4. Step 4: Simplify right side
    804,416x = 2,846,535,860,224
  5. Step 5: Solve for x
    x = 2,846,535,860,224/804,416
  6. Step 6: Final answer
    x = 3,538,636.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.