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Finding the Third Proportional to 985,939 and 2,121,323

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Solution

The third proportional to 985,939 and 2,121,323 is: 4,564,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,939 : 2,121,323 = 2,121,323 : x
  2. Step 2: Convert to fraction form
    985,939/2,121,323 = 2,121,323/x
  3. Step 3: Cross multiply
    985,939x = 2,121,323 × 2,121,323
  4. Step 4: Simplify right side
    985,939x = 4,500,011,270,329
  5. Step 5: Solve for x
    x = 4,500,011,270,329/985,939
  6. Step 6: Final answer
    x = 4,564,188.32

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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.