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Finding the Third Proportional to 648,506 and 970,167

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Solution

The third proportional to 648,506 and 970,167 is: 1,451,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,506 : 970,167 = 970,167 : x
  2. Step 2: Convert to fraction form
    648,506/970,167 = 970,167/x
  3. Step 3: Cross multiply
    648,506x = 970,167 × 970,167
  4. Step 4: Simplify right side
    648,506x = 941,224,007,889
  5. Step 5: Solve for x
    x = 941,224,007,889/648,506
  6. Step 6: Final answer
    x = 1,451,372.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.