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Finding the Third Proportional to 1,211,301.75 and 1,764,372.38

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Solution

The third proportional to 1,211,301.75 and 1,764,372.38 is: 2,569,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,301.75 : 1,764,372.38 = 1,764,372.38 : x
  2. Step 2: Convert to fraction form
    1,211,301.75/1,764,372.38 = 1,764,372.38/x
  3. Step 3: Cross multiply
    1,211,301.75x = 1,764,372.38 × 1,764,372.38
  4. Step 4: Simplify right side
    1,211,301.75x = 3,113,009,877,663.14
  5. Step 5: Solve for x
    x = 3,113,009,877,663.14/1,211,301.75
  6. Step 6: Final answer
    x = 2,569,970.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.