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Finding the Third Proportional to 546,292 and 856,972

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Solution

The third proportional to 546,292 and 856,972 is: 1,344,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,292 : 856,972 = 856,972 : x
  2. Step 2: Convert to fraction form
    546,292/856,972 = 856,972/x
  3. Step 3: Cross multiply
    546,292x = 856,972 × 856,972
  4. Step 4: Simplify right side
    546,292x = 734,401,008,784
  5. Step 5: Solve for x
    x = 734,401,008,784/546,292
  6. Step 6: Final answer
    x = 1,344,337.84

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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.