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Finding the Third Proportional to 500,224 and 1,095,318

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Solution

The third proportional to 500,224 and 1,095,318 is: 2,398,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,224 : 1,095,318 = 1,095,318 : x
  2. Step 2: Convert to fraction form
    500,224/1,095,318 = 1,095,318/x
  3. Step 3: Cross multiply
    500,224x = 1,095,318 × 1,095,318
  4. Step 4: Simplify right side
    500,224x = 1,199,721,521,124
  5. Step 5: Solve for x
    x = 1,199,721,521,124/500,224
  6. Step 6: Final answer
    x = 2,398,368.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.