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Finding the Third Proportional to 427,140 and 939,546

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Solution

The third proportional to 427,140 and 939,546 is: 2,066,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,140 : 939,546 = 939,546 : x
  2. Step 2: Convert to fraction form
    427,140/939,546 = 939,546/x
  3. Step 3: Cross multiply
    427,140x = 939,546 × 939,546
  4. Step 4: Simplify right side
    427,140x = 882,746,686,116
  5. Step 5: Solve for x
    x = 882,746,686,116/427,140
  6. Step 6: Final answer
    x = 2,066,644.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.