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Finding the Third Proportional to 904,446 and 1,966,356

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Solution

The third proportional to 904,446 and 1,966,356 is: 4,275,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,446 : 1,966,356 = 1,966,356 : x
  2. Step 2: Convert to fraction form
    904,446/1,966,356 = 1,966,356/x
  3. Step 3: Cross multiply
    904,446x = 1,966,356 × 1,966,356
  4. Step 4: Simplify right side
    904,446x = 3,866,555,918,736
  5. Step 5: Solve for x
    x = 3,866,555,918,736/904,446
  6. Step 6: Final answer
    x = 4,275,054.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.