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Finding the Third Proportional to 466,682 and 999,460

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Solution

The third proportional to 466,682 and 999,460 is: 2,140,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,682 : 999,460 = 999,460 : x
  2. Step 2: Convert to fraction form
    466,682/999,460 = 999,460/x
  3. Step 3: Cross multiply
    466,682x = 999,460 × 999,460
  4. Step 4: Simplify right side
    466,682x = 998,920,291,600
  5. Step 5: Solve for x
    x = 998,920,291,600/466,682
  6. Step 6: Final answer
    x = 2,140,473.15

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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.