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Finding the Third Proportional to 524,610 and 1,132,974

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Solution

The third proportional to 524,610 and 1,132,974 is: 2,446,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,610 : 1,132,974 = 1,132,974 : x
  2. Step 2: Convert to fraction form
    524,610/1,132,974 = 1,132,974/x
  3. Step 3: Cross multiply
    524,610x = 1,132,974 × 1,132,974
  4. Step 4: Simplify right side
    524,610x = 1,283,630,084,676
  5. Step 5: Solve for x
    x = 1,283,630,084,676/524,610
  6. Step 6: Final answer
    x = 2,446,827.33

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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.