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Finding the Third Proportional to 501,066 and 1,026,729

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Solution

The third proportional to 501,066 and 1,026,729 is: 2,103,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,066 : 1,026,729 = 1,026,729 : x
  2. Step 2: Convert to fraction form
    501,066/1,026,729 = 1,026,729/x
  3. Step 3: Cross multiply
    501,066x = 1,026,729 × 1,026,729
  4. Step 4: Simplify right side
    501,066x = 1,054,172,439,441
  5. Step 5: Solve for x
    x = 1,054,172,439,441/501,066
  6. Step 6: Final answer
    x = 2,103,859.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.