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Finding the Third Proportional to 628,496 and 1,293,856

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Solution

The third proportional to 628,496 and 1,293,856 is: 2,663,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,496 : 1,293,856 = 1,293,856 : x
  2. Step 2: Convert to fraction form
    628,496/1,293,856 = 1,293,856/x
  3. Step 3: Cross multiply
    628,496x = 1,293,856 × 1,293,856
  4. Step 4: Simplify right side
    628,496x = 1,674,063,348,736
  5. Step 5: Solve for x
    x = 1,674,063,348,736/628,496
  6. Step 6: Final answer
    x = 2,663,602.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.