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Finding the Third Proportional to 656,044 and 1,420,898

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Solution

The third proportional to 656,044 and 1,420,898 is: 3,077,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,044 : 1,420,898 = 1,420,898 : x
  2. Step 2: Convert to fraction form
    656,044/1,420,898 = 1,420,898/x
  3. Step 3: Cross multiply
    656,044x = 1,420,898 × 1,420,898
  4. Step 4: Simplify right side
    656,044x = 2,018,951,126,404
  5. Step 5: Solve for x
    x = 2,018,951,126,404/656,044
  6. Step 6: Final answer
    x = 3,077,462.98

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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.