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Finding the Third Proportional to 426,988 and 919,952

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Solution

The third proportional to 426,988 and 919,952 is: 1,982,050.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,988 : 919,952 = 919,952 : x
  2. Step 2: Convert to fraction form
    426,988/919,952 = 919,952/x
  3. Step 3: Cross multiply
    426,988x = 919,952 × 919,952
  4. Step 4: Simplify right side
    426,988x = 846,311,682,304
  5. Step 5: Solve for x
    x = 846,311,682,304/426,988
  6. Step 6: Final answer
    x = 1,982,050.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.