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Finding the Third Proportional to 450,767 and 951,835

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Solution

The third proportional to 450,767 and 951,835 is: 2,009,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,767 : 951,835 = 951,835 : x
  2. Step 2: Convert to fraction form
    450,767/951,835 = 951,835/x
  3. Step 3: Cross multiply
    450,767x = 951,835 × 951,835
  4. Step 4: Simplify right side
    450,767x = 905,989,867,225
  5. Step 5: Solve for x
    x = 905,989,867,225/450,767
  6. Step 6: Final answer
    x = 2,009,885.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.