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Finding the Third Proportional to 449,210 and 973,113

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Solution

The third proportional to 449,210 and 973,113 is: 2,108,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,210 : 973,113 = 973,113 : x
  2. Step 2: Convert to fraction form
    449,210/973,113 = 973,113/x
  3. Step 3: Cross multiply
    449,210x = 973,113 × 973,113
  4. Step 4: Simplify right side
    449,210x = 946,948,910,769
  5. Step 5: Solve for x
    x = 946,948,910,769/449,210
  6. Step 6: Final answer
    x = 2,108,031.68

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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.