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Finding the Third Proportional to 438,294 and 943,167

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Solution

The third proportional to 438,294 and 943,167 is: 2,029,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,294 : 943,167 = 943,167 : x
  2. Step 2: Convert to fraction form
    438,294/943,167 = 943,167/x
  3. Step 3: Cross multiply
    438,294x = 943,167 × 943,167
  4. Step 4: Simplify right side
    438,294x = 889,563,989,889
  5. Step 5: Solve for x
    x = 889,563,989,889/438,294
  6. Step 6: Final answer
    x = 2,029,605.68

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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.