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Finding the Third Proportional to 774,016 and 1,705,024

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Solution

The third proportional to 774,016 and 1,705,024 is: 3,755,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,016 : 1,705,024 = 1,705,024 : x
  2. Step 2: Convert to fraction form
    774,016/1,705,024 = 1,705,024/x
  3. Step 3: Cross multiply
    774,016x = 1,705,024 × 1,705,024
  4. Step 4: Simplify right side
    774,016x = 2,907,106,840,576
  5. Step 5: Solve for x
    x = 2,907,106,840,576/774,016
  6. Step 6: Final answer
    x = 3,755,874.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.