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Finding the Third Proportional to 550,466 and 911,036

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Solution

The third proportional to 550,466 and 911,036 is: 1,507,789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,466 : 911,036 = 911,036 : x
  2. Step 2: Convert to fraction form
    550,466/911,036 = 911,036/x
  3. Step 3: Cross multiply
    550,466x = 911,036 × 911,036
  4. Step 4: Simplify right side
    550,466x = 829,986,593,296
  5. Step 5: Solve for x
    x = 829,986,593,296/550,466
  6. Step 6: Final answer
    x = 1,507,789.02

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.