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Finding the Third Proportional to 656,066 and 1,412,752

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Solution

The third proportional to 656,066 and 1,412,752 is: 3,042,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,066 : 1,412,752 = 1,412,752 : x
  2. Step 2: Convert to fraction form
    656,066/1,412,752 = 1,412,752/x
  3. Step 3: Cross multiply
    656,066x = 1,412,752 × 1,412,752
  4. Step 4: Simplify right side
    656,066x = 1,995,868,213,504
  5. Step 5: Solve for x
    x = 1,995,868,213,504/656,066
  6. Step 6: Final answer
    x = 3,042,175.96

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