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Finding the Third Proportional to 583,827 and 1,258,806

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Solution

The third proportional to 583,827 and 1,258,806 is: 2,714,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,827 : 1,258,806 = 1,258,806 : x
  2. Step 2: Convert to fraction form
    583,827/1,258,806 = 1,258,806/x
  3. Step 3: Cross multiply
    583,827x = 1,258,806 × 1,258,806
  4. Step 4: Simplify right side
    583,827x = 1,584,592,545,636
  5. Step 5: Solve for x
    x = 1,584,592,545,636/583,827
  6. Step 6: Final answer
    x = 2,714,147.42

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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.