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Finding the Third Proportional to 562,263.56 and 1,224,359.63

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Solution

The third proportional to 562,263.56 and 1,224,359.63 is: 2,666,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,263.56 : 1,224,359.63 = 1,224,359.63 : x
  2. Step 2: Convert to fraction form
    562,263.56/1,224,359.63 = 1,224,359.63/x
  3. Step 3: Cross multiply
    562,263.56x = 1,224,359.63 × 1,224,359.63
  4. Step 4: Simplify right side
    562,263.56x = 1,499,056,491,330.14
  5. Step 5: Solve for x
    x = 1,499,056,491,330.14/562,263.56
  6. Step 6: Final answer
    x = 2,666,109.97

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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.