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Finding the Third Proportional to 524,512 and 1,125,488

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Solution

The third proportional to 524,512 and 1,125,488 is: 2,415,051.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,512 : 1,125,488 = 1,125,488 : x
  2. Step 2: Convert to fraction form
    524,512/1,125,488 = 1,125,488/x
  3. Step 3: Cross multiply
    524,512x = 1,125,488 × 1,125,488
  4. Step 4: Simplify right side
    524,512x = 1,266,723,238,144
  5. Step 5: Solve for x
    x = 1,266,723,238,144/524,512
  6. Step 6: Final answer
    x = 2,415,051.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.