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Finding the Third Proportional to 904,425 and 1,966,314

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Solution

The third proportional to 904,425 and 1,966,314 is: 4,274,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,425 : 1,966,314 = 1,966,314 : x
  2. Step 2: Convert to fraction form
    904,425/1,966,314 = 1,966,314/x
  3. Step 3: Cross multiply
    904,425x = 1,966,314 × 1,966,314
  4. Step 4: Simplify right side
    904,425x = 3,866,390,746,596
  5. Step 5: Solve for x
    x = 3,866,390,746,596/904,425
  6. Step 6: Final answer
    x = 4,274,971.11

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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.