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Finding the Third Proportional to 469,622 and 999,970

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Solution

The third proportional to 469,622 and 999,970 is: 2,129,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,622 : 999,970 = 999,970 : x
  2. Step 2: Convert to fraction form
    469,622/999,970 = 999,970/x
  3. Step 3: Cross multiply
    469,622x = 999,970 × 999,970
  4. Step 4: Simplify right side
    469,622x = 999,940,000,900
  5. Step 5: Solve for x
    x = 999,940,000,900/469,622
  6. Step 6: Final answer
    x = 2,129,244.37

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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.