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Finding the Third Proportional to 604,564 and 943,615

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Solution

The third proportional to 604,564 and 943,615 is: 1,472,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,564 : 943,615 = 943,615 : x
  2. Step 2: Convert to fraction form
    604,564/943,615 = 943,615/x
  3. Step 3: Cross multiply
    604,564x = 943,615 × 943,615
  4. Step 4: Simplify right side
    604,564x = 890,409,268,225
  5. Step 5: Solve for x
    x = 890,409,268,225/604,564
  6. Step 6: Final answer
    x = 1,472,812.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.