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Finding the Third Proportional to 456,143 and 1,057,089

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Solution

The third proportional to 456,143 and 1,057,089 is: 2,449,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,143 : 1,057,089 = 1,057,089 : x
  2. Step 2: Convert to fraction form
    456,143/1,057,089 = 1,057,089/x
  3. Step 3: Cross multiply
    456,143x = 1,057,089 × 1,057,089
  4. Step 4: Simplify right side
    456,143x = 1,117,437,153,921
  5. Step 5: Solve for x
    x = 1,117,437,153,921/456,143
  6. Step 6: Final answer
    x = 2,449,751.84

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.