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Finding the Third Proportional to 438,912 and 943,300

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Solution

The third proportional to 438,912 and 943,300 is: 2,027,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,912 : 943,300 = 943,300 : x
  2. Step 2: Convert to fraction form
    438,912/943,300 = 943,300/x
  3. Step 3: Cross multiply
    438,912x = 943,300 × 943,300
  4. Step 4: Simplify right side
    438,912x = 889,814,890,000
  5. Step 5: Solve for x
    x = 889,814,890,000/438,912
  6. Step 6: Final answer
    x = 2,027,319.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.