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Finding the Third Proportional to 927,306 and 1,968,336

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Solution

The third proportional to 927,306 and 1,968,336 is: 4,178,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,306 : 1,968,336 = 1,968,336 : x
  2. Step 2: Convert to fraction form
    927,306/1,968,336 = 1,968,336/x
  3. Step 3: Cross multiply
    927,306x = 1,968,336 × 1,968,336
  4. Step 4: Simplify right side
    927,306x = 3,874,346,608,896
  5. Step 5: Solve for x
    x = 3,874,346,608,896/927,306
  6. Step 6: Final answer
    x = 4,178,067.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.