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Finding the Third Proportional to 562,263.75 and 1,224,359.81

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Solution

The third proportional to 562,263.75 and 1,224,359.81 is: 2,666,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,263.75 : 1,224,359.81 = 1,224,359.81 : x
  2. Step 2: Convert to fraction form
    562,263.75/1,224,359.81 = 1,224,359.81/x
  3. Step 3: Cross multiply
    562,263.75x = 1,224,359.81 × 1,224,359.81
  4. Step 4: Simplify right side
    562,263.75x = 1,499,056,950,465.04
  5. Step 5: Solve for x
    x = 1,499,056,950,465.04/562,263.75
  6. Step 6: Final answer
    x = 2,666,109.90

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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.