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Finding the Third Proportional to 1,430,343 and 2,160,096

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Solution

The third proportional to 1,430,343 and 2,160,096 is: 3,262,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,343 : 2,160,096 = 2,160,096 : x
  2. Step 2: Convert to fraction form
    1,430,343/2,160,096 = 2,160,096/x
  3. Step 3: Cross multiply
    1,430,343x = 2,160,096 × 2,160,096
  4. Step 4: Simplify right side
    1,430,343x = 4,666,014,729,216
  5. Step 5: Solve for x
    x = 4,666,014,729,216/1,430,343
  6. Step 6: Final answer
    x = 3,262,164.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.