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Finding the Third Proportional to 460,512 and 999,810

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Solution

The third proportional to 460,512 and 999,810 is: 2,170,670.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,512 : 999,810 = 999,810 : x
  2. Step 2: Convert to fraction form
    460,512/999,810 = 999,810/x
  3. Step 3: Cross multiply
    460,512x = 999,810 × 999,810
  4. Step 4: Simplify right side
    460,512x = 999,620,036,100
  5. Step 5: Solve for x
    x = 999,620,036,100/460,512
  6. Step 6: Final answer
    x = 2,170,670.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.