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Finding the Third Proportional to 530,142 and 1,104,992

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Solution

The third proportional to 530,142 and 1,104,992 is: 2,303,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,142 : 1,104,992 = 1,104,992 : x
  2. Step 2: Convert to fraction form
    530,142/1,104,992 = 1,104,992/x
  3. Step 3: Cross multiply
    530,142x = 1,104,992 × 1,104,992
  4. Step 4: Simplify right side
    530,142x = 1,221,007,320,064
  5. Step 5: Solve for x
    x = 1,221,007,320,064/530,142
  6. Step 6: Final answer
    x = 2,303,170.32

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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.