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Finding the Third Proportional to 884,000.25 and 1,929,926.25

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Solution

The third proportional to 884,000.25 and 1,929,926.25 is: 4,213,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,000.25 : 1,929,926.25 = 1,929,926.25 : x
  2. Step 2: Convert to fraction form
    884,000.25/1,929,926.25 = 1,929,926.25/x
  3. Step 3: Cross multiply
    884,000.25x = 1,929,926.25 × 1,929,926.25
  4. Step 4: Simplify right side
    884,000.25x = 3,724,615,330,439.06
  5. Step 5: Solve for x
    x = 3,724,615,330,439.06/884,000.25
  6. Step 6: Final answer
    x = 4,213,364.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.