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Finding the Third Proportional to 500,014 and 1,078,212

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Solution

The third proportional to 500,014 and 1,078,212 is: 2,325,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,014 : 1,078,212 = 1,078,212 : x
  2. Step 2: Convert to fraction form
    500,014/1,078,212 = 1,078,212/x
  3. Step 3: Cross multiply
    500,014x = 1,078,212 × 1,078,212
  4. Step 4: Simplify right side
    500,014x = 1,162,541,116,944
  5. Step 5: Solve for x
    x = 1,162,541,116,944/500,014
  6. Step 6: Final answer
    x = 2,325,017.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.