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Finding the Third Proportional to 538,445 and 1,174,690

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Solution

The third proportional to 538,445 and 1,174,690 is: 2,562,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,445 : 1,174,690 = 1,174,690 : x
  2. Step 2: Convert to fraction form
    538,445/1,174,690 = 1,174,690/x
  3. Step 3: Cross multiply
    538,445x = 1,174,690 × 1,174,690
  4. Step 4: Simplify right side
    538,445x = 1,379,896,596,100
  5. Step 5: Solve for x
    x = 1,379,896,596,100/538,445
  6. Step 6: Final answer
    x = 2,562,743.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.