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Finding the Third Proportional to 997,928 and 1,563,650

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Solution

The third proportional to 997,928 and 1,563,650 is: 2,450,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,928 : 1,563,650 = 1,563,650 : x
  2. Step 2: Convert to fraction form
    997,928/1,563,650 = 1,563,650/x
  3. Step 3: Cross multiply
    997,928x = 1,563,650 × 1,563,650
  4. Step 4: Simplify right side
    997,928x = 2,445,001,322,500
  5. Step 5: Solve for x
    x = 2,445,001,322,500/997,928
  6. Step 6: Final answer
    x = 2,450,077.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.