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Finding the Third Proportional to 4,233,262.50 and 6,359,431.50

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Solution

The third proportional to 4,233,262.50 and 6,359,431.50 is: 9,553,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233,262.50 : 6,359,431.50 = 6,359,431.50 : x
  2. Step 2: Convert to fraction form
    4,233,262.50/6,359,431.50 = 6,359,431.50/x
  3. Step 3: Cross multiply
    4,233,262.50x = 6,359,431.50 × 6,359,431.50
  4. Step 4: Simplify right side
    4,233,262.50x = 40,442,369,003,192.25
  5. Step 5: Solve for x
    x = 40,442,369,003,192.25/4,233,262.50
  6. Step 6: Final answer
    x = 9,553,475.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.