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Finding the Third Proportional to 546,322 and 857,014

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Solution

The third proportional to 546,322 and 857,014 is: 1,344,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,322 : 857,014 = 857,014 : x
  2. Step 2: Convert to fraction form
    546,322/857,014 = 857,014/x
  3. Step 3: Cross multiply
    546,322x = 857,014 × 857,014
  4. Step 4: Simplify right side
    546,322x = 734,472,996,196
  5. Step 5: Solve for x
    x = 734,472,996,196/546,322
  6. Step 6: Final answer
    x = 1,344,395.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.