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Finding the Third Proportional to 1,891,765 and 4,151,433

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Solution

The third proportional to 1,891,765 and 4,151,433 is: 9,110,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891,765 : 4,151,433 = 4,151,433 : x
  2. Step 2: Convert to fraction form
    1,891,765/4,151,433 = 4,151,433/x
  3. Step 3: Cross multiply
    1,891,765x = 4,151,433 × 4,151,433
  4. Step 4: Simplify right side
    1,891,765x = 17,234,395,953,489
  5. Step 5: Solve for x
    x = 17,234,395,953,489/1,891,765
  6. Step 6: Final answer
    x = 9,110,220.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.