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Finding the Third Proportional to 550,970 and 1,207,564

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Solution

The third proportional to 550,970 and 1,207,564 is: 2,646,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,970 : 1,207,564 = 1,207,564 : x
  2. Step 2: Convert to fraction form
    550,970/1,207,564 = 1,207,564/x
  3. Step 3: Cross multiply
    550,970x = 1,207,564 × 1,207,564
  4. Step 4: Simplify right side
    550,970x = 1,458,210,814,096
  5. Step 5: Solve for x
    x = 1,458,210,814,096/550,970
  6. Step 6: Final answer
    x = 2,646,624.71

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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.