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Finding the Third Proportional to 566,947 and 1,233,538

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Solution

The third proportional to 566,947 and 1,233,538 is: 2,683,876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,947 : 1,233,538 = 1,233,538 : x
  2. Step 2: Convert to fraction form
    566,947/1,233,538 = 1,233,538/x
  3. Step 3: Cross multiply
    566,947x = 1,233,538 × 1,233,538
  4. Step 4: Simplify right side
    566,947x = 1,521,615,997,444
  5. Step 5: Solve for x
    x = 1,521,615,997,444/566,947
  6. Step 6: Final answer
    x = 2,683,876.97

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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.