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Finding the Third Proportional to 604,224 and 1,316,298

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Solution

The third proportional to 604,224 and 1,316,298 is: 2,867,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,224 : 1,316,298 = 1,316,298 : x
  2. Step 2: Convert to fraction form
    604,224/1,316,298 = 1,316,298/x
  3. Step 3: Cross multiply
    604,224x = 1,316,298 × 1,316,298
  4. Step 4: Simplify right side
    604,224x = 1,732,640,424,804
  5. Step 5: Solve for x
    x = 1,732,640,424,804/604,224
  6. Step 6: Final answer
    x = 2,867,546.51

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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.