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Finding the Third Proportional to 426,994 and 919,964

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Solution

The third proportional to 426,994 and 919,964 is: 1,982,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,994 : 919,964 = 919,964 : x
  2. Step 2: Convert to fraction form
    426,994/919,964 = 919,964/x
  3. Step 3: Cross multiply
    426,994x = 919,964 × 919,964
  4. Step 4: Simplify right side
    426,994x = 846,333,761,296
  5. Step 5: Solve for x
    x = 846,333,761,296/426,994
  6. Step 6: Final answer
    x = 1,982,074.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.