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Finding the Third Proportional to 449,212 and 973,125.50

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Solution

The third proportional to 449,212 and 973,125.50 is: 2,108,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,212 : 973,125.50 = 973,125.50 : x
  2. Step 2: Convert to fraction form
    449,212/973,125.50 = 973,125.50/x
  3. Step 3: Cross multiply
    449,212x = 973,125.50 × 973,125.50
  4. Step 4: Simplify right side
    449,212x = 946,973,238,750.25
  5. Step 5: Solve for x
    x = 946,973,238,750.25/449,212
  6. Step 6: Final answer
    x = 2,108,076.45

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