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Finding the Third Proportional to 560,036 and 1,228,935

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Solution

The third proportional to 560,036 and 1,228,935 is: 2,696,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,036 : 1,228,935 = 1,228,935 : x
  2. Step 2: Convert to fraction form
    560,036/1,228,935 = 1,228,935/x
  3. Step 3: Cross multiply
    560,036x = 1,228,935 × 1,228,935
  4. Step 4: Simplify right side
    560,036x = 1,510,281,234,225
  5. Step 5: Solve for x
    x = 1,510,281,234,225/560,036
  6. Step 6: Final answer
    x = 2,696,757.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.