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Finding the Third Proportional to 627,153 and 942,143

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Solution

The third proportional to 627,153 and 942,143 is: 1,415,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,153 : 942,143 = 942,143 : x
  2. Step 2: Convert to fraction form
    627,153/942,143 = 942,143/x
  3. Step 3: Cross multiply
    627,153x = 942,143 × 942,143
  4. Step 4: Simplify right side
    627,153x = 887,633,432,449
  5. Step 5: Solve for x
    x = 887,633,432,449/627,153
  6. Step 6: Final answer
    x = 1,415,337.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.