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Finding the Third Proportional to 662,592 and 1,430,096

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Solution

The third proportional to 662,592 and 1,430,096 is: 3,086,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,592 : 1,430,096 = 1,430,096 : x
  2. Step 2: Convert to fraction form
    662,592/1,430,096 = 1,430,096/x
  3. Step 3: Cross multiply
    662,592x = 1,430,096 × 1,430,096
  4. Step 4: Simplify right side
    662,592x = 2,045,174,569,216
  5. Step 5: Solve for x
    x = 2,045,174,569,216/662,592
  6. Step 6: Final answer
    x = 3,086,627.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.