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Finding the Third Proportional to 2,649,159 and 5,897,880

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Solution

The third proportional to 2,649,159 and 5,897,880 is: 13,130,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,159 : 5,897,880 = 5,897,880 : x
  2. Step 2: Convert to fraction form
    2,649,159/5,897,880 = 5,897,880/x
  3. Step 3: Cross multiply
    2,649,159x = 5,897,880 × 5,897,880
  4. Step 4: Simplify right side
    2,649,159x = 34,784,988,494,400
  5. Step 5: Solve for x
    x = 34,784,988,494,400/2,649,159
  6. Step 6: Final answer
    x = 13,130,577.85

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.