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Finding the Third Proportional to 726,364 and 1,200,426

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Solution

The third proportional to 726,364 and 1,200,426 is: 1,983,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,364 : 1,200,426 = 1,200,426 : x
  2. Step 2: Convert to fraction form
    726,364/1,200,426 = 1,200,426/x
  3. Step 3: Cross multiply
    726,364x = 1,200,426 × 1,200,426
  4. Step 4: Simplify right side
    726,364x = 1,441,022,581,476
  5. Step 5: Solve for x
    x = 1,441,022,581,476/726,364
  6. Step 6: Final answer
    x = 1,983,884.91

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.