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Finding the Third Proportional to 637,663.50 and 1,347,304.50

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Solution

The third proportional to 637,663.50 and 1,347,304.50 is: 2,846,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,663.50 : 1,347,304.50 = 1,347,304.50 : x
  2. Step 2: Convert to fraction form
    637,663.50/1,347,304.50 = 1,347,304.50/x
  3. Step 3: Cross multiply
    637,663.50x = 1,347,304.50 × 1,347,304.50
  4. Step 4: Simplify right side
    637,663.50x = 1,815,229,415,720.25
  5. Step 5: Solve for x
    x = 1,815,229,415,720.25/637,663.50
  6. Step 6: Final answer
    x = 2,846,688.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.