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Finding the Third Proportional to 482,206 and 1,056,272

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Solution

The third proportional to 482,206 and 1,056,272 is: 2,313,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,206 : 1,056,272 = 1,056,272 : x
  2. Step 2: Convert to fraction form
    482,206/1,056,272 = 1,056,272/x
  3. Step 3: Cross multiply
    482,206x = 1,056,272 × 1,056,272
  4. Step 4: Simplify right side
    482,206x = 1,115,710,537,984
  5. Step 5: Solve for x
    x = 1,115,710,537,984/482,206
  6. Step 6: Final answer
    x = 2,313,763.28

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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.