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Finding the Third Proportional to 560,037 and 1,228,938

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Solution

The third proportional to 560,037 and 1,228,938 is: 2,696,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,037 : 1,228,938 = 1,228,938 : x
  2. Step 2: Convert to fraction form
    560,037/1,228,938 = 1,228,938/x
  3. Step 3: Cross multiply
    560,037x = 1,228,938 × 1,228,938
  4. Step 4: Simplify right side
    560,037x = 1,510,288,607,844
  5. Step 5: Solve for x
    x = 1,510,288,607,844/560,037
  6. Step 6: Final answer
    x = 2,696,765.76

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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.