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Finding the Third Proportional to 1,066,125 and 2,516,751

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Solution

The third proportional to 1,066,125 and 2,516,751 is: 5,941,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066,125 : 2,516,751 = 2,516,751 : x
  2. Step 2: Convert to fraction form
    1,066,125/2,516,751 = 2,516,751/x
  3. Step 3: Cross multiply
    1,066,125x = 2,516,751 × 2,516,751
  4. Step 4: Simplify right side
    1,066,125x = 6,334,035,596,001
  5. Step 5: Solve for x
    x = 6,334,035,596,001/1,066,125
  6. Step 6: Final answer
    x = 5,941,175.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.