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Finding the Third Proportional to 757,416 and 1,632,924

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Solution

The third proportional to 757,416 and 1,632,924 is: 3,520,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,416 : 1,632,924 = 1,632,924 : x
  2. Step 2: Convert to fraction form
    757,416/1,632,924 = 1,632,924/x
  3. Step 3: Cross multiply
    757,416x = 1,632,924 × 1,632,924
  4. Step 4: Simplify right side
    757,416x = 2,666,440,789,776
  5. Step 5: Solve for x
    x = 2,666,440,789,776/757,416
  6. Step 6: Final answer
    x = 3,520,444.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.