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Finding the Third Proportional to 562,262.25 and 1,224,357

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Solution

The third proportional to 562,262.25 and 1,224,357 is: 2,666,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,262.25 : 1,224,357 = 1,224,357 : x
  2. Step 2: Convert to fraction form
    562,262.25/1,224,357 = 1,224,357/x
  3. Step 3: Cross multiply
    562,262.25x = 1,224,357 × 1,224,357
  4. Step 4: Simplify right side
    562,262.25x = 1,499,050,063,449
  5. Step 5: Solve for x
    x = 1,499,050,063,449/562,262.25
  6. Step 6: Final answer
    x = 2,666,104.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.