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Finding the Third Proportional to 986,931 and 2,120,728.50

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Solution

The third proportional to 986,931 and 2,120,728.50 is: 4,557,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,931 : 2,120,728.50 = 2,120,728.50 : x
  2. Step 2: Convert to fraction form
    986,931/2,120,728.50 = 2,120,728.50/x
  3. Step 3: Cross multiply
    986,931x = 2,120,728.50 × 2,120,728.50
  4. Step 4: Simplify right side
    986,931x = 4,497,489,370,712.25
  5. Step 5: Solve for x
    x = 4,497,489,370,712.25/986,931
  6. Step 6: Final answer
    x = 4,557,045.40

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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.