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Finding the Third Proportional to 531,401.89 and 1,085,108.40

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Solution

The third proportional to 531,401.89 and 1,085,108.40 is: 2,215,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,401.89 : 1,085,108.40 = 1,085,108.40 : x
  2. Step 2: Convert to fraction form
    531,401.89/1,085,108.40 = 1,085,108.40/x
  3. Step 3: Cross multiply
    531,401.89x = 1,085,108.40 × 1,085,108.40
  4. Step 4: Simplify right side
    531,401.89x = 1,177,460,236,359.60
  5. Step 5: Solve for x
    x = 1,177,460,236,359.60/531,401.89
  6. Step 6: Final answer
    x = 2,215,762.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.