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Finding the Third Proportional to 905,336 and 1,966,424

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Solution

The third proportional to 905,336 and 1,966,424 is: 4,271,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,336 : 1,966,424 = 1,966,424 : x
  2. Step 2: Convert to fraction form
    905,336/1,966,424 = 1,966,424/x
  3. Step 3: Cross multiply
    905,336x = 1,966,424 × 1,966,424
  4. Step 4: Simplify right side
    905,336x = 3,866,823,347,776
  5. Step 5: Solve for x
    x = 3,866,823,347,776/905,336
  6. Step 6: Final answer
    x = 4,271,147.23

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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.