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Finding the Third Proportional to 524,300 and 1,146,722

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Solution

The third proportional to 524,300 and 1,146,722 is: 2,508,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,300 : 1,146,722 = 1,146,722 : x
  2. Step 2: Convert to fraction form
    524,300/1,146,722 = 1,146,722/x
  3. Step 3: Cross multiply
    524,300x = 1,146,722 × 1,146,722
  4. Step 4: Simplify right side
    524,300x = 1,314,971,345,284
  5. Step 5: Solve for x
    x = 1,314,971,345,284/524,300
  6. Step 6: Final answer
    x = 2,508,051.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.