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Finding the Third Proportional to 583,808 and 1,258,816

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Solution

The third proportional to 583,808 and 1,258,816 is: 2,714,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,808 : 1,258,816 = 1,258,816 : x
  2. Step 2: Convert to fraction form
    583,808/1,258,816 = 1,258,816/x
  3. Step 3: Cross multiply
    583,808x = 1,258,816 × 1,258,816
  4. Step 4: Simplify right side
    583,808x = 1,584,617,721,856
  5. Step 5: Solve for x
    x = 1,584,617,721,856/583,808
  6. Step 6: Final answer
    x = 2,714,278.88

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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.