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Finding the Third Proportional to 537,057 and 1,169,964

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Solution

The third proportional to 537,057 and 1,169,964 is: 2,548,734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,057 : 1,169,964 = 1,169,964 : x
  2. Step 2: Convert to fraction form
    537,057/1,169,964 = 1,169,964/x
  3. Step 3: Cross multiply
    537,057x = 1,169,964 × 1,169,964
  4. Step 4: Simplify right side
    537,057x = 1,368,815,761,296
  5. Step 5: Solve for x
    x = 1,368,815,761,296/537,057
  6. Step 6: Final answer
    x = 2,548,734.61

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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.