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Finding the Third Proportional to 656,069 and 1,420,942

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Solution

The third proportional to 656,069 and 1,420,942 is: 3,077,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,069 : 1,420,942 = 1,420,942 : x
  2. Step 2: Convert to fraction form
    656,069/1,420,942 = 1,420,942/x
  3. Step 3: Cross multiply
    656,069x = 1,420,942 × 1,420,942
  4. Step 4: Simplify right side
    656,069x = 2,019,076,167,364
  5. Step 5: Solve for x
    x = 2,019,076,167,364/656,069
  6. Step 6: Final answer
    x = 3,077,536.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.