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Finding the Third Proportional to 462,753 and 1,031,845.50

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Solution

The third proportional to 462,753 and 1,031,845.50 is: 2,300,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,753 : 1,031,845.50 = 1,031,845.50 : x
  2. Step 2: Convert to fraction form
    462,753/1,031,845.50 = 1,031,845.50/x
  3. Step 3: Cross multiply
    462,753x = 1,031,845.50 × 1,031,845.50
  4. Step 4: Simplify right side
    462,753x = 1,064,705,135,870.25
  5. Step 5: Solve for x
    x = 1,064,705,135,870.25/462,753
  6. Step 6: Final answer
    x = 2,300,806.56

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.