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Finding the Third Proportional to 477,151 and 1,009,523.50

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Solution

The third proportional to 477,151 and 1,009,523.50 is: 2,135,880.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,151 : 1,009,523.50 = 1,009,523.50 : x
  2. Step 2: Convert to fraction form
    477,151/1,009,523.50 = 1,009,523.50/x
  3. Step 3: Cross multiply
    477,151x = 1,009,523.50 × 1,009,523.50
  4. Step 4: Simplify right side
    477,151x = 1,019,137,697,052.25
  5. Step 5: Solve for x
    x = 1,019,137,697,052.25/477,151
  6. Step 6: Final answer
    x = 2,135,880.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.