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Finding the Third Proportional to 466,454 and 997,752

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Solution

The third proportional to 466,454 and 997,752 is: 2,134,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,454 : 997,752 = 997,752 : x
  2. Step 2: Convert to fraction form
    466,454/997,752 = 997,752/x
  3. Step 3: Cross multiply
    466,454x = 997,752 × 997,752
  4. Step 4: Simplify right side
    466,454x = 995,509,053,504
  5. Step 5: Solve for x
    x = 995,509,053,504/466,454
  6. Step 6: Final answer
    x = 2,134,206.27

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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.