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Finding the Third Proportional to 596,048 and 1,293,014

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Solution

The third proportional to 596,048 and 1,293,014 is: 2,804,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,048 : 1,293,014 = 1,293,014 : x
  2. Step 2: Convert to fraction form
    596,048/1,293,014 = 1,293,014/x
  3. Step 3: Cross multiply
    596,048x = 1,293,014 × 1,293,014
  4. Step 4: Simplify right side
    596,048x = 1,671,885,204,196
  5. Step 5: Solve for x
    x = 1,671,885,204,196/596,048
  6. Step 6: Final answer
    x = 2,804,950.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.