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Finding the Third Proportional to 436,770 and 926,028

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Solution

The third proportional to 436,770 and 926,028 is: 1,963,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,770 : 926,028 = 926,028 : x
  2. Step 2: Convert to fraction form
    436,770/926,028 = 926,028/x
  3. Step 3: Cross multiply
    436,770x = 926,028 × 926,028
  4. Step 4: Simplify right side
    436,770x = 857,527,856,784
  5. Step 5: Solve for x
    x = 857,527,856,784/436,770
  6. Step 6: Final answer
    x = 1,963,339.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.