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Finding the Third Proportional to 904,429 and 1,966,322

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Solution

The third proportional to 904,429 and 1,966,322 is: 4,274,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,429 : 1,966,322 = 1,966,322 : x
  2. Step 2: Convert to fraction form
    904,429/1,966,322 = 1,966,322/x
  3. Step 3: Cross multiply
    904,429x = 1,966,322 × 1,966,322
  4. Step 4: Simplify right side
    904,429x = 3,866,422,207,684
  5. Step 5: Solve for x
    x = 3,866,422,207,684/904,429
  6. Step 6: Final answer
    x = 4,274,986.99

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