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Finding the Third Proportional to 460,070 and 943,089

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Solution

The third proportional to 460,070 and 943,089 is: 1,933,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,070 : 943,089 = 943,089 : x
  2. Step 2: Convert to fraction form
    460,070/943,089 = 943,089/x
  3. Step 3: Cross multiply
    460,070x = 943,089 × 943,089
  4. Step 4: Simplify right side
    460,070x = 889,416,861,921
  5. Step 5: Solve for x
    x = 889,416,861,921/460,070
  6. Step 6: Final answer
    x = 1,933,220.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.