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Finding the Third Proportional to 424,836 and 926,964

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Solution

The third proportional to 424,836 and 926,964 is: 2,022,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,836 : 926,964 = 926,964 : x
  2. Step 2: Convert to fraction form
    424,836/926,964 = 926,964/x
  3. Step 3: Cross multiply
    424,836x = 926,964 × 926,964
  4. Step 4: Simplify right side
    424,836x = 859,262,257,296
  5. Step 5: Solve for x
    x = 859,262,257,296/424,836
  6. Step 6: Final answer
    x = 2,022,574.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.