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Finding the Third Proportional to 992,587.50 and 2,174,208.75

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Solution

The third proportional to 992,587.50 and 2,174,208.75 is: 4,762,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,587.50 : 2,174,208.75 = 2,174,208.75 : x
  2. Step 2: Convert to fraction form
    992,587.50/2,174,208.75 = 2,174,208.75/x
  3. Step 3: Cross multiply
    992,587.50x = 2,174,208.75 × 2,174,208.75
  4. Step 4: Simplify right side
    992,587.50x = 4,727,183,688,576.56
  5. Step 5: Solve for x
    x = 4,727,183,688,576.56/992,587.50
  6. Step 6: Final answer
    x = 4,762,485.61

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Why These Related Problems?

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