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Finding the Third Proportional to 670,325 and 1,461,151

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Solution

The third proportional to 670,325 and 1,461,151 is: 3,184,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,325 : 1,461,151 = 1,461,151 : x
  2. Step 2: Convert to fraction form
    670,325/1,461,151 = 1,461,151/x
  3. Step 3: Cross multiply
    670,325x = 1,461,151 × 1,461,151
  4. Step 4: Simplify right side
    670,325x = 2,134,962,244,801
  5. Step 5: Solve for x
    x = 2,134,962,244,801/670,325
  6. Step 6: Final answer
    x = 3,184,965.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.