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Finding the Third Proportional to 533,454 and 1,162,770

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Solution

The third proportional to 533,454 and 1,162,770 is: 2,534,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,454 : 1,162,770 = 1,162,770 : x
  2. Step 2: Convert to fraction form
    533,454/1,162,770 = 1,162,770/x
  3. Step 3: Cross multiply
    533,454x = 1,162,770 × 1,162,770
  4. Step 4: Simplify right side
    533,454x = 1,352,034,072,900
  5. Step 5: Solve for x
    x = 1,352,034,072,900/533,454
  6. Step 6: Final answer
    x = 2,534,490.46

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Why These Related Problems?

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