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Finding the Third Proportional to 469,614 and 999,955

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Solution

The third proportional to 469,614 and 999,955 is: 2,129,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,614 : 999,955 = 999,955 : x
  2. Step 2: Convert to fraction form
    469,614/999,955 = 999,955/x
  3. Step 3: Cross multiply
    469,614x = 999,955 × 999,955
  4. Step 4: Simplify right side
    469,614x = 999,910,002,025
  5. Step 5: Solve for x
    x = 999,910,002,025/469,614
  6. Step 6: Final answer
    x = 2,129,216.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.