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Finding the Third Proportional to 436,765 and 926,009

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Solution

The third proportional to 436,765 and 926,009 is: 1,963,281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,765 : 926,009 = 926,009 : x
  2. Step 2: Convert to fraction form
    436,765/926,009 = 926,009/x
  3. Step 3: Cross multiply
    436,765x = 926,009 × 926,009
  4. Step 4: Simplify right side
    436,765x = 857,492,668,081
  5. Step 5: Solve for x
    x = 857,492,668,081/436,765
  6. Step 6: Final answer
    x = 1,963,281.55

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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.