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Finding the Third Proportional to 448,928 and 997,506

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Solution

The third proportional to 448,928 and 997,506 is: 2,216,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,928 : 997,506 = 997,506 : x
  2. Step 2: Convert to fraction form
    448,928/997,506 = 997,506/x
  3. Step 3: Cross multiply
    448,928x = 997,506 × 997,506
  4. Step 4: Simplify right side
    448,928x = 995,018,220,036
  5. Step 5: Solve for x
    x = 995,018,220,036/448,928
  6. Step 6: Final answer
    x = 2,216,431.63

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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.