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Finding the Third Proportional to 630,046.50 and 1,382,563.50

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Solution

The third proportional to 630,046.50 and 1,382,563.50 is: 3,033,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,046.50 : 1,382,563.50 = 1,382,563.50 : x
  2. Step 2: Convert to fraction form
    630,046.50/1,382,563.50 = 1,382,563.50/x
  3. Step 3: Cross multiply
    630,046.50x = 1,382,563.50 × 1,382,563.50
  4. Step 4: Simplify right side
    630,046.50x = 1,911,481,831,532.25
  5. Step 5: Solve for x
    x = 1,911,481,831,532.25/630,046.50
  6. Step 6: Final answer
    x = 3,033,874.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.