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Finding the Third Proportional to 1,122,666.75 and 1,759,102.31

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Solution

The third proportional to 1,122,666.75 and 1,759,102.31 is: 2,756,330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122,666.75 : 1,759,102.31 = 1,759,102.31 : x
  2. Step 2: Convert to fraction form
    1,122,666.75/1,759,102.31 = 1,759,102.31/x
  3. Step 3: Cross multiply
    1,122,666.75x = 1,759,102.31 × 1,759,102.31
  4. Step 4: Simplify right side
    1,122,666.75x = 3,094,440,945,842.85
  5. Step 5: Solve for x
    x = 3,094,440,945,842.85/1,122,666.75
  6. Step 6: Final answer
    x = 2,756,330.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.