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Finding the Third Proportional to 449,170.50 and 973,090

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Solution

The third proportional to 449,170.50 and 973,090 is: 2,108,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,170.50 : 973,090 = 973,090 : x
  2. Step 2: Convert to fraction form
    449,170.50/973,090 = 973,090/x
  3. Step 3: Cross multiply
    449,170.50x = 973,090 × 973,090
  4. Step 4: Simplify right side
    449,170.50x = 946,904,148,100
  5. Step 5: Solve for x
    x = 946,904,148,100/449,170.50
  6. Step 6: Final answer
    x = 2,108,117.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.