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Finding the Third Proportional to 524,672 and 1,159,608

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Solution

The third proportional to 524,672 and 1,159,608 is: 2,562,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,672 : 1,159,608 = 1,159,608 : x
  2. Step 2: Convert to fraction form
    524,672/1,159,608 = 1,159,608/x
  3. Step 3: Cross multiply
    524,672x = 1,159,608 × 1,159,608
  4. Step 4: Simplify right side
    524,672x = 1,344,690,713,664
  5. Step 5: Solve for x
    x = 1,344,690,713,664/524,672
  6. Step 6: Final answer
    x = 2,562,916.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.