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Finding the Third Proportional to 915,765.75 and 2,014,237.13

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Solution

The third proportional to 915,765.75 and 2,014,237.13 is: 4,430,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,765.75 : 2,014,237.13 = 2,014,237.13 : x
  2. Step 2: Convert to fraction form
    915,765.75/2,014,237.13 = 2,014,237.13/x
  3. Step 3: Cross multiply
    915,765.75x = 2,014,237.13 × 2,014,237.13
  4. Step 4: Simplify right side
    915,765.75x = 4,057,151,195,728.27
  5. Step 5: Solve for x
    x = 4,057,151,195,728.27/915,765.75
  6. Step 6: Final answer
    x = 4,430,337.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.