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Finding the Third Proportional to 656,862 and 1,421,676

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Solution

The third proportional to 656,862 and 1,421,676 is: 3,076,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,862 : 1,421,676 = 1,421,676 : x
  2. Step 2: Convert to fraction form
    656,862/1,421,676 = 1,421,676/x
  3. Step 3: Cross multiply
    656,862x = 1,421,676 × 1,421,676
  4. Step 4: Simplify right side
    656,862x = 2,021,162,648,976
  5. Step 5: Solve for x
    x = 2,021,162,648,976/656,862
  6. Step 6: Final answer
    x = 3,076,997.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.