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Finding the Third Proportional to 465,658 and 997,742

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Solution

The third proportional to 465,658 and 997,742 is: 2,137,811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,658 : 997,742 = 997,742 : x
  2. Step 2: Convert to fraction form
    465,658/997,742 = 997,742/x
  3. Step 3: Cross multiply
    465,658x = 997,742 × 997,742
  4. Step 4: Simplify right side
    465,658x = 995,489,098,564
  5. Step 5: Solve for x
    x = 995,489,098,564/465,658
  6. Step 6: Final answer
    x = 2,137,811.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.