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Finding the Third Proportional to 914,034 and 1,335,735

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Solution

The third proportional to 914,034 and 1,335,735 is: 1,951,993.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,034 : 1,335,735 = 1,335,735 : x
  2. Step 2: Convert to fraction form
    914,034/1,335,735 = 1,335,735/x
  3. Step 3: Cross multiply
    914,034x = 1,335,735 × 1,335,735
  4. Step 4: Simplify right side
    914,034x = 1,784,187,990,225
  5. Step 5: Solve for x
    x = 1,784,187,990,225/914,034
  6. Step 6: Final answer
    x = 1,951,993.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.