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Finding the Third Proportional to 574,056 and 1,251,444

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Solution

The third proportional to 574,056 and 1,251,444 is: 2,728,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,056 : 1,251,444 = 1,251,444 : x
  2. Step 2: Convert to fraction form
    574,056/1,251,444 = 1,251,444/x
  3. Step 3: Cross multiply
    574,056x = 1,251,444 × 1,251,444
  4. Step 4: Simplify right side
    574,056x = 1,566,112,085,136
  5. Step 5: Solve for x
    x = 1,566,112,085,136/574,056
  6. Step 6: Final answer
    x = 2,728,152.11

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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.