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Finding the Third Proportional to 627,160 and 942,154

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Solution

The third proportional to 627,160 and 942,154 is: 1,415,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,160 : 942,154 = 942,154 : x
  2. Step 2: Convert to fraction form
    627,160/942,154 = 942,154/x
  3. Step 3: Cross multiply
    627,160x = 942,154 × 942,154
  4. Step 4: Simplify right side
    627,160x = 887,654,159,716
  5. Step 5: Solve for x
    x = 887,654,159,716/627,160
  6. Step 6: Final answer
    x = 1,415,355.19

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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.