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Finding the Third Proportional to 656,624 and 1,414,564

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Solution

The third proportional to 656,624 and 1,414,564 is: 3,047,392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,624 : 1,414,564 = 1,414,564 : x
  2. Step 2: Convert to fraction form
    656,624/1,414,564 = 1,414,564/x
  3. Step 3: Cross multiply
    656,624x = 1,414,564 × 1,414,564
  4. Step 4: Simplify right side
    656,624x = 2,000,991,310,096
  5. Step 5: Solve for x
    x = 2,000,991,310,096/656,624
  6. Step 6: Final answer
    x = 3,047,392.89

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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.