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Finding the Third Proportional to 576,657 and 1,238,556

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Solution

The third proportional to 576,657 and 1,238,556 is: 2,660,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,657 : 1,238,556 = 1,238,556 : x
  2. Step 2: Convert to fraction form
    576,657/1,238,556 = 1,238,556/x
  3. Step 3: Cross multiply
    576,657x = 1,238,556 × 1,238,556
  4. Step 4: Simplify right side
    576,657x = 1,534,020,965,136
  5. Step 5: Solve for x
    x = 1,534,020,965,136/576,657
  6. Step 6: Final answer
    x = 2,660,196.56

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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.