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Finding the Third Proportional to 395,681 and 933,447

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Solution

The third proportional to 395,681 and 933,447 is: 2,202,085.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,681 : 933,447 = 933,447 : x
  2. Step 2: Convert to fraction form
    395,681/933,447 = 933,447/x
  3. Step 3: Cross multiply
    395,681x = 933,447 × 933,447
  4. Step 4: Simplify right side
    395,681x = 871,323,301,809
  5. Step 5: Solve for x
    x = 871,323,301,809/395,681
  6. Step 6: Final answer
    x = 2,202,085.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.