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Finding the Third Proportional to 774,021 and 1,642,086

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Solution

The third proportional to 774,021 and 1,642,086 is: 3,483,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,021 : 1,642,086 = 1,642,086 : x
  2. Step 2: Convert to fraction form
    774,021/1,642,086 = 1,642,086/x
  3. Step 3: Cross multiply
    774,021x = 1,642,086 × 1,642,086
  4. Step 4: Simplify right side
    774,021x = 2,696,446,431,396
  5. Step 5: Solve for x
    x = 2,696,446,431,396/774,021
  6. Step 6: Final answer
    x = 3,483,686.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.