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Finding the Third Proportional to 605,913.54 and 921,459.80

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Solution

The third proportional to 605,913.54 and 921,459.80 is: 1,401,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,913.54 : 921,459.80 = 921,459.80 : x
  2. Step 2: Convert to fraction form
    605,913.54/921,459.80 = 921,459.80/x
  3. Step 3: Cross multiply
    605,913.54x = 921,459.80 × 921,459.80
  4. Step 4: Simplify right side
    605,913.54x = 849,088,157,256.92
  5. Step 5: Solve for x
    x = 849,088,157,256.92/605,913.54
  6. Step 6: Final answer
    x = 1,401,335.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.