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Finding the Third Proportional to 465,624 and 997,659

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Solution

The third proportional to 465,624 and 997,659 is: 2,137,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,624 : 997,659 = 997,659 : x
  2. Step 2: Convert to fraction form
    465,624/997,659 = 997,659/x
  3. Step 3: Cross multiply
    465,624x = 997,659 × 997,659
  4. Step 4: Simplify right side
    465,624x = 995,323,480,281
  5. Step 5: Solve for x
    x = 995,323,480,281/465,624
  6. Step 6: Final answer
    x = 2,137,612.07

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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.