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Finding the Third Proportional to 438,303 and 943,185

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Solution

The third proportional to 438,303 and 943,185 is: 2,029,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,303 : 943,185 = 943,185 : x
  2. Step 2: Convert to fraction form
    438,303/943,185 = 943,185/x
  3. Step 3: Cross multiply
    438,303x = 943,185 × 943,185
  4. Step 4: Simplify right side
    438,303x = 889,597,944,225
  5. Step 5: Solve for x
    x = 889,597,944,225/438,303
  6. Step 6: Final answer
    x = 2,029,641.47

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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.