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Finding the Third Proportional to 530,715 and 1,110,638

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Solution

The third proportional to 530,715 and 1,110,638 is: 2,324,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,715 : 1,110,638 = 1,110,638 : x
  2. Step 2: Convert to fraction form
    530,715/1,110,638 = 1,110,638/x
  3. Step 3: Cross multiply
    530,715x = 1,110,638 × 1,110,638
  4. Step 4: Simplify right side
    530,715x = 1,233,516,767,044
  5. Step 5: Solve for x
    x = 1,233,516,767,044/530,715
  6. Step 6: Final answer
    x = 2,324,254.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.