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Finding the Third Proportional to 423,840 and 926,424

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Solution

The third proportional to 423,840 and 926,424 is: 2,024,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,840 : 926,424 = 926,424 : x
  2. Step 2: Convert to fraction form
    423,840/926,424 = 926,424/x
  3. Step 3: Cross multiply
    423,840x = 926,424 × 926,424
  4. Step 4: Simplify right side
    423,840x = 858,261,427,776
  5. Step 5: Solve for x
    x = 858,261,427,776/423,840
  6. Step 6: Final answer
    x = 2,024,965.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.