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Finding the Third Proportional to 436,768 and 926,022

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Solution

The third proportional to 436,768 and 926,022 is: 1,963,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,768 : 926,022 = 926,022 : x
  2. Step 2: Convert to fraction form
    436,768/926,022 = 926,022/x
  3. Step 3: Cross multiply
    436,768x = 926,022 × 926,022
  4. Step 4: Simplify right side
    436,768x = 857,516,744,484
  5. Step 5: Solve for x
    x = 857,516,744,484/436,768
  6. Step 6: Final answer
    x = 1,963,323.19

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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.