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Finding the Third Proportional to 613,046 and 1,338,034

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Solution

The third proportional to 613,046 and 1,338,034 is: 2,920,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,046 : 1,338,034 = 1,338,034 : x
  2. Step 2: Convert to fraction form
    613,046/1,338,034 = 1,338,034/x
  3. Step 3: Cross multiply
    613,046x = 1,338,034 × 1,338,034
  4. Step 4: Simplify right side
    613,046x = 1,790,334,985,156
  5. Step 5: Solve for x
    x = 1,790,334,985,156/613,046
  6. Step 6: Final answer
    x = 2,920,392.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.