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Finding the Third Proportional to 456,141 and 1,057,084.50

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Solution

The third proportional to 456,141 and 1,057,084.50 is: 2,449,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,141 : 1,057,084.50 = 1,057,084.50 : x
  2. Step 2: Convert to fraction form
    456,141/1,057,084.50 = 1,057,084.50/x
  3. Step 3: Cross multiply
    456,141x = 1,057,084.50 × 1,057,084.50
  4. Step 4: Simplify right side
    456,141x = 1,117,427,640,140.25
  5. Step 5: Solve for x
    x = 1,117,427,640,140.25/456,141
  6. Step 6: Final answer
    x = 2,449,741.72

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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.