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Finding the Third Proportional to 560,038 and 1,228,940

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Solution

The third proportional to 560,038 and 1,228,940 is: 2,696,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,038 : 1,228,940 = 1,228,940 : x
  2. Step 2: Convert to fraction form
    560,038/1,228,940 = 1,228,940/x
  3. Step 3: Cross multiply
    560,038x = 1,228,940 × 1,228,940
  4. Step 4: Simplify right side
    560,038x = 1,510,293,523,600
  5. Step 5: Solve for x
    x = 1,510,293,523,600/560,038
  6. Step 6: Final answer
    x = 2,696,769.73

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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.