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Finding the Third Proportional to 475,279 and 1,056,820

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Solution

The third proportional to 475,279 and 1,056,820 is: 2,349,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,279 : 1,056,820 = 1,056,820 : x
  2. Step 2: Convert to fraction form
    475,279/1,056,820 = 1,056,820/x
  3. Step 3: Cross multiply
    475,279x = 1,056,820 × 1,056,820
  4. Step 4: Simplify right side
    475,279x = 1,116,868,512,400
  5. Step 5: Solve for x
    x = 1,116,868,512,400/475,279
  6. Step 6: Final answer
    x = 2,349,921.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.