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Finding the Third Proportional to 656,172 and 1,430,936

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Solution

The third proportional to 656,172 and 1,430,936 is: 3,120,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,172 : 1,430,936 = 1,430,936 : x
  2. Step 2: Convert to fraction form
    656,172/1,430,936 = 1,430,936/x
  3. Step 3: Cross multiply
    656,172x = 1,430,936 × 1,430,936
  4. Step 4: Simplify right side
    656,172x = 2,047,577,836,096
  5. Step 5: Solve for x
    x = 2,047,577,836,096/656,172
  6. Step 6: Final answer
    x = 3,120,489.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.