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Finding the Third Proportional to 906,729 and 1,906,527

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Solution

The third proportional to 906,729 and 1,906,527 is: 4,008,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,729 : 1,906,527 = 1,906,527 : x
  2. Step 2: Convert to fraction form
    906,729/1,906,527 = 1,906,527/x
  3. Step 3: Cross multiply
    906,729x = 1,906,527 × 1,906,527
  4. Step 4: Simplify right side
    906,729x = 3,634,845,201,729
  5. Step 5: Solve for x
    x = 3,634,845,201,729/906,729
  6. Step 6: Final answer
    x = 4,008,744.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.