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Finding the Third Proportional to 1,516,125 and 3,288,059.25

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Solution

The third proportional to 1,516,125 and 3,288,059.25 is: 7,130,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516,125 : 3,288,059.25 = 3,288,059.25 : x
  2. Step 2: Convert to fraction form
    1,516,125/3,288,059.25 = 3,288,059.25/x
  3. Step 3: Cross multiply
    1,516,125x = 3,288,059.25 × 3,288,059.25
  4. Step 4: Simplify right side
    1,516,125x = 10,811,333,631,510.56
  5. Step 5: Solve for x
    x = 10,811,333,631,510.56/1,516,125
  6. Step 6: Final answer
    x = 7,130,898.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.