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Finding the Third Proportional to 919,429.50 and 1,427,258.25

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Solution

The third proportional to 919,429.50 and 1,427,258.25 is: 2,215,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,429.50 : 1,427,258.25 = 1,427,258.25 : x
  2. Step 2: Convert to fraction form
    919,429.50/1,427,258.25 = 1,427,258.25/x
  3. Step 3: Cross multiply
    919,429.50x = 1,427,258.25 × 1,427,258.25
  4. Step 4: Simplify right side
    919,429.50x = 2,037,066,112,193.06
  5. Step 5: Solve for x
    x = 2,037,066,112,193.06/919,429.50
  6. Step 6: Final answer
    x = 2,215,576.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.