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Finding the Third Proportional to 431,701 and 926,833

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Solution

The third proportional to 431,701 and 926,833 is: 1,989,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,701 : 926,833 = 926,833 : x
  2. Step 2: Convert to fraction form
    431,701/926,833 = 926,833/x
  3. Step 3: Cross multiply
    431,701x = 926,833 × 926,833
  4. Step 4: Simplify right side
    431,701x = 859,019,409,889
  5. Step 5: Solve for x
    x = 859,019,409,889/431,701
  6. Step 6: Final answer
    x = 1,989,848.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.