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Finding the Third Proportional to 669,978 and 1,460,430

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Solution

The third proportional to 669,978 and 1,460,430 is: 3,183,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,978 : 1,460,430 = 1,460,430 : x
  2. Step 2: Convert to fraction form
    669,978/1,460,430 = 1,460,430/x
  3. Step 3: Cross multiply
    669,978x = 1,460,430 × 1,460,430
  4. Step 4: Simplify right side
    669,978x = 2,132,855,784,900
  5. Step 5: Solve for x
    x = 2,132,855,784,900/669,978
  6. Step 6: Final answer
    x = 3,183,471.38

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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.