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Finding the Third Proportional to 416,238 and 891,526

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Solution

The third proportional to 416,238 and 891,526 is: 1,909,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,238 : 891,526 = 891,526 : x
  2. Step 2: Convert to fraction form
    416,238/891,526 = 891,526/x
  3. Step 3: Cross multiply
    416,238x = 891,526 × 891,526
  4. Step 4: Simplify right side
    416,238x = 794,818,608,676
  5. Step 5: Solve for x
    x = 794,818,608,676/416,238
  6. Step 6: Final answer
    x = 1,909,529.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.