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Finding the Third Proportional to 437,732 and 940,854

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Solution

The third proportional to 437,732 and 940,854 is: 2,022,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,732 : 940,854 = 940,854 : x
  2. Step 2: Convert to fraction form
    437,732/940,854 = 940,854/x
  3. Step 3: Cross multiply
    437,732x = 940,854 × 940,854
  4. Step 4: Simplify right side
    437,732x = 885,206,249,316
  5. Step 5: Solve for x
    x = 885,206,249,316/437,732
  6. Step 6: Final answer
    x = 2,022,256.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.