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Finding the Third Proportional to 524,142 and 1,137,276

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Solution

The third proportional to 524,142 and 1,137,276 is: 2,467,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,142 : 1,137,276 = 1,137,276 : x
  2. Step 2: Convert to fraction form
    524,142/1,137,276 = 1,137,276/x
  3. Step 3: Cross multiply
    524,142x = 1,137,276 × 1,137,276
  4. Step 4: Simplify right side
    524,142x = 1,293,396,700,176
  5. Step 5: Solve for x
    x = 1,293,396,700,176/524,142
  6. Step 6: Final answer
    x = 2,467,645.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.