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Finding the Third Proportional to 761,380 and 1,071,242

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Solution

The third proportional to 761,380 and 1,071,242 is: 1,507,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,380 : 1,071,242 = 1,071,242 : x
  2. Step 2: Convert to fraction form
    761,380/1,071,242 = 1,071,242/x
  3. Step 3: Cross multiply
    761,380x = 1,071,242 × 1,071,242
  4. Step 4: Simplify right side
    761,380x = 1,147,559,422,564
  5. Step 5: Solve for x
    x = 1,147,559,422,564/761,380
  6. Step 6: Final answer
    x = 1,507,209.83

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.