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Finding the Third Proportional to 882,422 and 1,242,632

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Solution

The third proportional to 882,422 and 1,242,632 is: 1,749,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,422 : 1,242,632 = 1,242,632 : x
  2. Step 2: Convert to fraction form
    882,422/1,242,632 = 1,242,632/x
  3. Step 3: Cross multiply
    882,422x = 1,242,632 × 1,242,632
  4. Step 4: Simplify right side
    882,422x = 1,544,134,287,424
  5. Step 5: Solve for x
    x = 1,544,134,287,424/882,422
  6. Step 6: Final answer
    x = 1,749,881.90

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Why These Related Problems?

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