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Finding the Third Proportional to 448,974 and 997,591

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Solution

The third proportional to 448,974 and 997,591 is: 2,216,582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,974 : 997,591 = 997,591 : x
  2. Step 2: Convert to fraction form
    448,974/997,591 = 997,591/x
  3. Step 3: Cross multiply
    448,974x = 997,591 × 997,591
  4. Step 4: Simplify right side
    448,974x = 995,187,803,281
  5. Step 5: Solve for x
    x = 995,187,803,281/448,974
  6. Step 6: Final answer
    x = 2,216,582.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.