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Finding the Third Proportional to 920,032.50 and 1,980,033

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Solution

The third proportional to 920,032.50 and 1,980,033 is: 4,261,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,032.50 : 1,980,033 = 1,980,033 : x
  2. Step 2: Convert to fraction form
    920,032.50/1,980,033 = 1,980,033/x
  3. Step 3: Cross multiply
    920,032.50x = 1,980,033 × 1,980,033
  4. Step 4: Simplify right side
    920,032.50x = 3,920,530,681,089
  5. Step 5: Solve for x
    x = 3,920,530,681,089/920,032.50
  6. Step 6: Final answer
    x = 4,261,295.86

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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.