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Finding the Third Proportional to 475,280 and 1,056,824

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Solution

The third proportional to 475,280 and 1,056,824 is: 2,349,934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,280 : 1,056,824 = 1,056,824 : x
  2. Step 2: Convert to fraction form
    475,280/1,056,824 = 1,056,824/x
  3. Step 3: Cross multiply
    475,280x = 1,056,824 × 1,056,824
  4. Step 4: Simplify right side
    475,280x = 1,116,876,966,976
  5. Step 5: Solve for x
    x = 1,116,876,966,976/475,280
  6. Step 6: Final answer
    x = 2,349,934.71

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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.