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Finding the Third Proportional to 380,742 and 901,998

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Solution

The third proportional to 380,742 and 901,998 is: 2,136,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,742 : 901,998 = 901,998 : x
  2. Step 2: Convert to fraction form
    380,742/901,998 = 901,998/x
  3. Step 3: Cross multiply
    380,742x = 901,998 × 901,998
  4. Step 4: Simplify right side
    380,742x = 813,600,392,004
  5. Step 5: Solve for x
    x = 813,600,392,004/380,742
  6. Step 6: Final answer
    x = 2,136,881.12

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.