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Finding the Third Proportional to 583,828 and 1,258,856

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Solution

The third proportional to 583,828 and 1,258,856 is: 2,714,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,828 : 1,258,856 = 1,258,856 : x
  2. Step 2: Convert to fraction form
    583,828/1,258,856 = 1,258,856/x
  3. Step 3: Cross multiply
    583,828x = 1,258,856 × 1,258,856
  4. Step 4: Simplify right side
    583,828x = 1,584,718,428,736
  5. Step 5: Solve for x
    x = 1,584,718,428,736/583,828
  6. Step 6: Final answer
    x = 2,714,358.39

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