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Finding the Third Proportional to 448,938 and 997,526

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Solution

The third proportional to 448,938 and 997,526 is: 2,216,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,938 : 997,526 = 997,526 : x
  2. Step 2: Convert to fraction form
    448,938/997,526 = 997,526/x
  3. Step 3: Cross multiply
    448,938x = 997,526 × 997,526
  4. Step 4: Simplify right side
    448,938x = 995,058,120,676
  5. Step 5: Solve for x
    x = 995,058,120,676/448,938
  6. Step 6: Final answer
    x = 2,216,471.14

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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.