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Finding the Third Proportional to 472,996 and 1,007,336

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Solution

The third proportional to 472,996 and 1,007,336 is: 2,145,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,996 : 1,007,336 = 1,007,336 : x
  2. Step 2: Convert to fraction form
    472,996/1,007,336 = 1,007,336/x
  3. Step 3: Cross multiply
    472,996x = 1,007,336 × 1,007,336
  4. Step 4: Simplify right side
    472,996x = 1,014,725,816,896
  5. Step 5: Solve for x
    x = 1,014,725,816,896/472,996
  6. Step 6: Final answer
    x = 2,145,315.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.