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Finding the Third Proportional to 804,770 and 1,740,214

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Solution

The third proportional to 804,770 and 1,740,214 is: 3,762,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,770 : 1,740,214 = 1,740,214 : x
  2. Step 2: Convert to fraction form
    804,770/1,740,214 = 1,740,214/x
  3. Step 3: Cross multiply
    804,770x = 1,740,214 × 1,740,214
  4. Step 4: Simplify right side
    804,770x = 3,028,344,765,796
  5. Step 5: Solve for x
    x = 3,028,344,765,796/804,770
  6. Step 6: Final answer
    x = 3,762,994.10

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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.