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Finding the Third Proportional to 466,492 and 999,344

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Solution

The third proportional to 466,492 and 999,344 is: 2,140,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,492 : 999,344 = 999,344 : x
  2. Step 2: Convert to fraction form
    466,492/999,344 = 999,344/x
  3. Step 3: Cross multiply
    466,492x = 999,344 × 999,344
  4. Step 4: Simplify right side
    466,492x = 998,688,430,336
  5. Step 5: Solve for x
    x = 998,688,430,336/466,492
  6. Step 6: Final answer
    x = 2,140,847.93

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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.