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Finding the Third Proportional to 627,160 and 942,152

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Solution

The third proportional to 627,160 and 942,152 is: 1,415,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,160 : 942,152 = 942,152 : x
  2. Step 2: Convert to fraction form
    627,160/942,152 = 942,152/x
  3. Step 3: Cross multiply
    627,160x = 942,152 × 942,152
  4. Step 4: Simplify right side
    627,160x = 887,650,391,104
  5. Step 5: Solve for x
    x = 887,650,391,104/627,160
  6. Step 6: Final answer
    x = 1,415,349.18

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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.