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Finding the Third Proportional to 535,958 and 1,116,020

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Solution

The third proportional to 535,958 and 1,116,020 is: 2,323,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,958 : 1,116,020 = 1,116,020 : x
  2. Step 2: Convert to fraction form
    535,958/1,116,020 = 1,116,020/x
  3. Step 3: Cross multiply
    535,958x = 1,116,020 × 1,116,020
  4. Step 4: Simplify right side
    535,958x = 1,245,500,640,400
  5. Step 5: Solve for x
    x = 1,245,500,640,400/535,958
  6. Step 6: Final answer
    x = 2,323,877.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.