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Finding the Third Proportional to 1,149,038 and 1,610,132

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Solution

The third proportional to 1,149,038 and 1,610,132 is: 2,256,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,038 : 1,610,132 = 1,610,132 : x
  2. Step 2: Convert to fraction form
    1,149,038/1,610,132 = 1,610,132/x
  3. Step 3: Cross multiply
    1,149,038x = 1,610,132 × 1,610,132
  4. Step 4: Simplify right side
    1,149,038x = 2,592,525,057,424
  5. Step 5: Solve for x
    x = 2,592,525,057,424/1,149,038
  6. Step 6: Final answer
    x = 2,256,257.02

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.