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Finding the Third Proportional to 448,929 and 997,508

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Solution

The third proportional to 448,929 and 997,508 is: 2,216,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,929 : 997,508 = 997,508 : x
  2. Step 2: Convert to fraction form
    448,929/997,508 = 997,508/x
  3. Step 3: Cross multiply
    448,929x = 997,508 × 997,508
  4. Step 4: Simplify right side
    448,929x = 995,022,210,064
  5. Step 5: Solve for x
    x = 995,022,210,064/448,929
  6. Step 6: Final answer
    x = 2,216,435.58

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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.