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Finding the Third Proportional to 982,478 and 2,148,253

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Solution

The third proportional to 982,478 and 2,148,253 is: 4,697,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,478 : 2,148,253 = 2,148,253 : x
  2. Step 2: Convert to fraction form
    982,478/2,148,253 = 2,148,253/x
  3. Step 3: Cross multiply
    982,478x = 2,148,253 × 2,148,253
  4. Step 4: Simplify right side
    982,478x = 4,614,990,952,009
  5. Step 5: Solve for x
    x = 4,614,990,952,009/982,478
  6. Step 6: Final answer
    x = 4,697,296.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.